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131221440796536 = 233223157150439211
BaseRepresentation
bin11101110101100001011111…
…010111011001011101111000
3122012121122110211100201021200
4131311201133113121131320
5114144413002320442121
61143030144145134200
736432302426160426
oct3565413727313570
9565548424321250
10131221440796536
11388a1778437082
121287371702a360
13582b189bab53c
14245921a0a0116
151028586752a26
hex77585f5d9778

131221440796536 has 96 divisors (see below), whose sum is σ = 371079265115520. Its totient is φ = 41812087521600.

The previous prime is 131221440796531. The next prime is 131221440796591. The reversal of 131221440796536 is 635697044122131.

131221440796536 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 2 + 14 + 4 + 0 + 7 + 96 + 536 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131221440796531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22618030 + ... + 27821181.

It is an arithmetic number, because the mean of its divisors is an integer number (3865409011620).

Almost surely, 2131221440796536 is an apocalyptic number.

It is an amenable number.

131221440796536 is an abundant number, since it is smaller than the sum of its proper divisors (239857824318984).

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

131221440796536 is a wasteful number, since it uses less digits than its factorization.

131221440796536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50440817 (or 50440810 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 131221440796536 in words is "one hundred thirty-one trillion, two hundred twenty-one billion, four hundred forty million, seven hundred ninety-six thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1571 1656 3142 4713 6284 9426 12568 14139 18852 28278 36133 37704 56556 72266 108399 113112 144532 216798 289064 325197 433596 650394 867192 1300788 2601576 50439211 100878422 151317633 201756844 302635266 403513688 453952899 605270532 907905798 1160101853 1210541064 1815811596 2320203706 3480305559 3631623192 4640407412 6960611118 9280814824 10440916677 13921222236 20881833354 27842444472 41763666708 79240000481 83527333416 158480000962 237720001443 316960001924 475440002886 633920003848 713160004329 950880005772 1426320008658 1822520011063 1901760011544 2852640017316 3645040022126 5467560033189 5705280034632 7290080044252 10935120066378 14580160088504 16402680099567 21870240132756 32805360199134 43740480265512 65610720398268 131221440796536