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141022440240 = 243511349153059
BaseRepresentation
bin1000001101010110010…
…1111010101100110000
3111111000002121020002020
42003111211322230300
54302303221041430
6144441304151440
713121444651433
oct2032545725460
9444002536066
10141022440240
1154897544680
12233b8168580
13103b5658216
146b7b33b81a
153a05886b10
hex20d597ab30

141022440240 has 160 divisors (see below), whose sum is σ = 478281888000. Its totient is φ = 34089077760.

The previous prime is 141022440193. The next prime is 141022440277. The reversal of 141022440240 is 42044220141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 141022440240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 844831 + ... + 997889.

It is an arithmetic number, because the mean of its divisors is an integer number (2989261800).

Almost surely, 2141022440240 is an apocalyptic number.

141022440240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141022440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239140944000).

141022440240 is an abundant number, since it is smaller than the sum of its proper divisors (337259447760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141022440240 is a wasteful number, since it uses less digits than its factorization.

141022440240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153435 (or 153429 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 141022440240 its reverse (42044220141), we get a palindrome (183066660381).

It can be divided in two parts, 1410 and 22440240, that added together give a triangular number (22441650 = T6699).

The spelling of 141022440240 in words is "one hundred forty-one billion, twenty-two million, four hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 349 440 528 660 698 880 1047 1320 1396 1745 2094 2640 2792 3490 3839 4188 5235 5584 6980 7678 8376 10470 11517 13960 15356 16752 19195 20940 23034 27920 30712 38390 41880 46068 57585 61424 76780 83760 92136 115170 153059 153560 184272 230340 306118 307120 459177 460680 612236 765295 918354 921360 1224472 1530590 1683649 1836708 2295885 2448944 3061180 3367298 3673416 4591770 5050947 6122360 6734596 7346832 8418245 9183540 10101894 12244720 13469192 16836490 18367080 20203788 25254735 26938384 33672980 36734160 40407576 50509470 53417591 67345960 80815152 101018940 106835182 134691920 160252773 202037880 213670364 267087955 320505546 404075760 427340728 534175910 587593501 641011092 801263865 854681456 1068351820 1175187002 1282022184 1602527730 1762780503 2136703640 2350374004 2564044368 2937967505 3205055460 3525561006 4273407280 4700748008 5875935010 6410110920 7051122012 8813902515 9401496016 11751870020 12820221840 14102244024 17627805030 23503740040 28204488048 35255610060 47007480080 70511220120 141022440240