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332041010013240 = 233511619406375153
BaseRepresentation
bin100101101111111010101001…
…0011100111110010000111000
31121112122210212220001201111120
41023133311102130332100320
5322010124442030410430
63134105311215225240
7126640112523062223
oct11337652234762070
91545583786051446
10332041010013240
119688688a952290
12312a7932518220
1311337443492748
145bdcc290365ba
15285c236b0a610
hex12dfd5273e438

332041010013240 has 128 divisors (see below), whose sum is σ = 1088435212473600. Its totient is φ = 80364750059520.

The previous prime is 332041010013239. The next prime is 332041010013241. The reversal of 332041010013240 is 42310010140233.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (332041010013239) and next prime (332041010013241).

It is a super-2 number, since 2×3320410100132402 (a number of 30 digits) contains 22 as substring.

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 332041010013240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332041010013241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202370497 + ... + 204004656.

It is an arithmetic number, because the mean of its divisors is an integer number (8503400097450).

Almost surely, 2332041010013240 is an apocalyptic number.

332041010013240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

332041010013240 is an abundant number, since it is smaller than the sum of its proper divisors (756394202460360).

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

332041010013240 is a wasteful number, since it uses less digits than its factorization.

332041010013240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406375797 (or 406375793 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 332041010013240 its reverse (42310010140233), we get a palindrome (374351020153473).

The spelling of 332041010013240 in words is "three hundred thirty-two trillion, forty-one billion, ten million, thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 619 660 1238 1320 1857 2476 3095 3714 4952 6190 6809 7428 9285 12380 13618 14856 18570 20427 24760 27236 34045 37140 40854 54472 68090 74280 81708 102135 136180 163416 204270 272360 408540 817080 406375153 812750306 1219125459 1625500612 2031875765 2438250918 3251001224 4063751530 4470126683 4876501836 6095627295 8127503060 8940253366 9753003672 12191254590 13410380049 16255006120 17880506732 22350633415 24382509180 26820760098 35761013464 44701266830 48765018360 53641520196 67051900245 89402533660 107283040392 134103800490 178805067320 251546219707 268207600980 503092439414 536415201960 754638659121 1006184878828 1257731098535 1509277318242 2012369757656 2515462197070 2767008416777 3018554636484 3773193295605 5030924394140 5534016833554 6037109272968 7546386591210 8301025250331 10061848788280 11068033667108 13835042083885 15092773182420 16602050500662 22136067334216 27670084167770 30185546364840 33204101001324 41505126251655 55340168335540 66408202002648 83010252503310 110680336671080 166020505006620 332041010013240