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42144141360 = 24351071819067
BaseRepresentation
bin100111001111111111…
…001001000000110000
311000210002122012111110
4213033333021000300
51142302400010420
631205531113320
73021241201536
oct471777110060
9130702565443
1042144141360
11169672a61a2
128201ba2840
133c88356c69
14207b268156
151169d6cee0
hex9cffc9030

42144141360 has 160 divisors (see below), whose sum is σ = 132611012352. Its totient is φ = 11070673920.

The previous prime is 42144141349. The next prime is 42144141371. The reversal of 42144141360 is 6314144124.

42144141360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42144141349) and next prime (42144141371).

It is a super-2 number, since 2×421441413602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 4643547 + ... + 4652613.

Almost surely, 242144141360 is an apocalyptic number.

42144141360 is a gapful number since it is divisible by the number (40) 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 42144141360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66305506176).

42144141360 is an abundant number, since it is smaller than the sum of its proper divisors (90466870992).

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

42144141360 is a wasteful number, since it uses less digits than its factorization.

42144141360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9371 (or 9365 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 42144141360 its reverse (6314144124), we get a palindrome (48458285484).

The spelling of 42144141360 in words is "forty-two billion, one hundred forty-four million, one hundred forty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 107 120 181 214 240 321 362 428 535 543 642 724 856 905 1070 1086 1284 1448 1605 1712 1810 2140 2172 2568 2715 2896 3210 3620 4280 4344 5136 5430 6420 7240 8560 8688 9067 10860 12840 14480 18134 19367 21720 25680 27201 36268 38734 43440 45335 54402 58101 72536 77468 90670 96835 108804 116202 136005 145072 154936 181340 193670 217608 232404 272010 290505 309872 362680 387340 435216 464808 544020 581010 725360 774680 929616 970169 1088040 1162020 1549360 1641127 1940338 2176080 2324040 2910507 3282254 3880676 4648080 4850845 4923381 5821014 6564508 7761352 8205635 9701690 9846762 11642028 13129016 14552535 15522704 16411270 19403380 19693524 23284056 24616905 26258032 29105070 32822540 38806760 39387048 46568112 49233810 58210140 65645080 77613520 78774096 98467620 116420280 131290160 175600589 196935240 232840560 351201178 393870480 526801767 702402356 878002945 1053603534 1404804712 1756005890 2107207068 2634008835 2809609424 3512011780 4214414136 5268017670 7024023560 8428828272 10536035340 14048047120 21072070680 42144141360