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31422301422240 = 2535158371413353
BaseRepresentation
bin1110010010100000100110…
…00111010100001010100000
311010020221110012202012000110
413021100103013110022200
513104310333131002430
6150455112254451320
76422120631120051
oct711202307241240
9133227405665013
1031422301422240
11a015139a7aa13
123635a29203b40
13146c158473351
147a8bc179a728
15397575c577b0
hex1c94131d42a0

31422301422240 has 96 divisors (see below), whose sum is σ = 98981113928256. Its totient is φ = 8379207198720.

The previous prime is 31422301422179. The next prime is 31422301422287. The reversal of 31422301422240 is 4222410322413.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×314223014222402 (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 31422301422198 and 31422301422207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75811404 + ... + 76224756.

It is an arithmetic number, because the mean of its divisors is an integer number (1031053270086).

Almost surely, 231422301422240 is an apocalyptic number.

31422301422240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31422301422240 is an abundant number, since it is smaller than the sum of its proper divisors (67558812506016).

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

31422301422240 is a wasteful number, since it uses less digits than its factorization.

31422301422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571742 (or 571734 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 31422301422240 its reverse (4222410322413), we get a palindrome (35644711744653).

The spelling of 31422301422240 in words is "thirty-one trillion, four hundred twenty-two billion, three hundred one million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 158371 316742 413353 475113 633484 791855 826706 950226 1240059 1266968 1583710 1653412 1900452 2066765 2375565 2480118 2533936 3167420 3306824 3800904 4133530 4751130 4960236 5067872 6200295 6334840 6613648 7601808 8267060 9502260 9920472 12400590 12669680 13227296 15203616 16534120 19004520 19840944 24801180 25339360 33068240 38009040 39681888 49602360 66136480 76018080 99204720 198409440 65463127963 130926255926 196389383889 261852511852 327315639815 392778767778 523705023704 654631279630 785557535556 981946919445 1047410047408 1309262559260 1571115071112 1963893838890 2094820094816 2618525118520 3142230142224 3927787677780 5237050237040 6284460284448 7855575355560 10474100474080 15711150711120 31422301422240