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3422540251152 = 2432116135421223
BaseRepresentation
bin110001110011011111010…
…010111100000000010000
3110010012011201022001011200
4301303133102330000100
5422033330301014102
611140143203311200
7502161511063041
oct61633722740020
913105151261150
103422540251152
1110aa544823410
1247338997b500
131ba989bc9259
14bb91a8ac8c8
155e064dd551c
hex31cdf4bc010

3422540251152 has 120 divisors (see below), whose sum is σ = 10620416434368. Its totient is φ = 1020131193600.

The previous prime is 3422540251093. The next prime is 3422540251199. The reversal of 3422540251152 is 2511520452243.

3422540251152 is a `hidden beast` number, since 3 + 4 + 2 + 254 + 0 + 251 + 152 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17613988 + ... + 17807235.

Almost surely, 23422540251152 is an apocalyptic number.

It is an amenable number.

3422540251152 is an abundant number, since it is smaller than the sum of its proper divisors (7197876183216).

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

3422540251152 is a wasteful number, since it uses less digits than its factorization.

3422540251152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35421309 (or 35421300 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 3422540251152 in words is "three trillion, four hundred twenty-two billion, five hundred forty million, two hundred fifty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 61 66 72 88 99 122 132 144 176 183 198 244 264 366 396 488 528 549 671 732 792 976 1098 1342 1464 1584 2013 2196 2684 2928 4026 4392 5368 6039 8052 8784 10736 12078 16104 24156 32208 48312 96624 35421223 70842446 106263669 141684892 212527338 283369784 318791007 389633453 425054676 566739568 637582014 779266906 850109352 1168900359 1275164028 1558533812 1700218704 2160694603 2337800718 2550328056 3117067624 3506701077 4321389206 4675601436 5100656112 6234135248 6482083809 7013402154 8642778412 9351202872 12964167618 14026804308 17285556824 18702405744 19446251427 23767640633 25928335236 28053608616 34571113648 38892502854 47535281266 51856670472 56107217232 71302921899 77785005708 95070562532 103713340944 142605843798 155570011416 190141125064 213908765697 285211687596 311140022832 380282250128 427817531394 570423375192 855635062788 1140846750384 1711270125576 3422540251152