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3241561264431 = 372318920693863
BaseRepresentation
bin101111001010111100000…
…110111001000100101111
3102110220000222101221121120
4233022330012321010233
5411102204140430211
610521052551432023
7453123624061200
oct57127406710457
912426028357546
103241561264431
11103a81390aaa6
124442a0385613
131a68a74c4229
14b2c6ca755a7
15594c179bd06
hex2f2bc1b912f

3241561264431 has 96 divisors (see below), whose sum is σ = 5252121907200. Its totient is φ = 1771111964160.

The previous prime is 3241561264397. The next prime is 3241561264483. The reversal of 3241561264431 is 1344621651423.

It is not a de Polignac number, because 3241561264431 - 226 = 3241494155567 is a prime.

It is a super-2 number, since 2×32415612644312 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3241561264631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 839128606 + ... + 839132468.

It is an arithmetic number, because the mean of its divisors is an integer number (54709603200).

Almost surely, 23241561264431 is an apocalyptic number.

3241561264431 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3241561264431 is a deficient number, since it is larger than the sum of its proper divisors (2010560642769).

3241561264431 is a wasteful number, since it uses less digits than its factorization.

3241561264431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6069 (or 6062 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The spelling of 3241561264431 in words is "three trillion, two hundred forty-one billion, five hundred sixty-one million, two hundred sixty-four thousand, four hundred thirty-one".

Divisors: 1 3 7 21 31 49 89 93 147 217 267 623 651 1519 1869 2069 2759 3863 4361 4557 6207 8277 11589 13083 14483 19313 27041 43449 57939 64139 81123 101381 119753 135191 184141 189287 192417 304143 343807 359259 405573 448973 552423 567861 838271 1031421 1288987 1346919 2406649 2514813 3142811 3866961 5708371 5867897 7219947 7992547 9022909 9428433 10658017 16846543 17125113 17603691 23977641 27068727 31974051 39958597 50539629 55947829 74606119 119875791 167843487 223818357 247768957 279710179 391634803 522242833 711336683 743306871 839130537 1174904409 1566728499 1734382699 2134010049 4979356781 5203148097 12140678893 14938070343 22051437173 34855497467 36422036679 66154311519 104566492401 154360060211 463080180633 1080520421477 3241561264431