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4430001413040 = 243573771267719
BaseRepresentation
bin100000001110111000010…
…1010010001101110110000
3120200111121102012202121220
41000131300222101232300
51040040120330204130
613231040424345040
7635025364466460
oct100356052215660
916614542182556
104430001413040
1114588313426a5
125b6692615180
13261993ba5088
141145adbd7ba0
157a37b6ab410
hex40770a91bb0

4430001413040 has 160 divisors (see below), whose sum is σ = 16119047838720. Its totient is φ = 985204933632.

The previous prime is 4430001412937. The next prime is 4430001413087. The reversal of 4430001413040 is 403141000344.

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 4430001413040.

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, 35571700 + ... + 35696019.

It is an arithmetic number, because the mean of its divisors is an integer number (100744048992).

Almost surely, 24430001413040 is an apocalyptic number.

4430001413040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4430001413040 is an abundant number, since it is smaller than the sum of its proper divisors (11689046425680).

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

4430001413040 is a wasteful number, since it uses less digits than its factorization.

4430001413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71267779 (or 71267773 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4430001413040 its reverse (403141000344), we get a palindrome (4833142413384).

The spelling of 4430001413040 in words is "four trillion, four hundred thirty billion, one million, four hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 37 40 42 48 56 60 70 74 80 84 105 111 112 120 140 148 168 185 210 222 240 259 280 296 336 370 420 444 518 555 560 592 740 777 840 888 1036 1110 1295 1480 1554 1680 1776 2072 2220 2590 2960 3108 3885 4144 4440 5180 6216 7770 8880 10360 12432 15540 20720 31080 62160 71267719 142535438 213803157 285070876 356338595 427606314 498874033 570141752 712677190 855212628 997748066 1069015785 1140283504 1425354380 1496622099 1710425256 1995496132 2138031570 2494370165 2636905603 2850708760 2993244198 3420850512 3990992264 4276063140 4988740330 5273811206 5701417520 5986488396 7483110495 7910716809 7981984528 8552126280 9977480660 10547622412 11972976792 13184528015 14966220990 15821433618 17104252560 18458339221 19954961320 21095244824 23945953584 26369056030 29932441980 31642867236 36916678442 39553584045 39909922640 42190489648 52738112060 55375017663 59864883960 63285734472 73833356884 79107168090 92291696105 105476224120 110750035326 119729767920 126571468944 147666713768 158214336180 184583392210 210952448240 221500070652 276875088315 295333427536 316428672360 369166784420 443000141304 553750176630 632857344720 738333568840 886000282608 1107500353260 1476667137680 2215000706520 4430001413040