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1314590714232 = 2333141269160207
BaseRepresentation
bin10011001000010011101…
…101100110100101111000
311122200012002100112101120
4103020103231212211320
5133014240210323412
62443525321145240
7163655532463005
oct23102355464570
94580162315346
101314590714232
11467573206804
1219293992b220
1396c71c00463
14478ab2ac8ac
15242ded3eb8c
hex13213b66978

1314590714232 has 128 divisors (see below), whose sum is σ = 3488176742400. Its totient is φ = 412177996800.

The previous prime is 1314590714219. The next prime is 1314590714251. The reversal of 1314590714232 is 2324170954131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8125473 + ... + 8285679.

It is an arithmetic number, because the mean of its divisors is an integer number (27251380800).

Almost surely, 21314590714232 is an apocalyptic number.

1314590714232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314590714232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744088371200).

1314590714232 is an abundant number, since it is smaller than the sum of its proper divisors (2173586028168).

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

1314590714232 is a wasteful number, since it uses less digits than its factorization.

1314590714232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160557 (or 160553 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 1314590714232 in words is "one trillion, three hundred fourteen billion, five hundred ninety million, seven hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 41 62 82 93 123 124 164 186 246 248 269 328 372 492 538 744 807 984 1076 1271 1614 2152 2542 3228 3813 5084 6456 7626 8339 10168 11029 15252 16678 22058 25017 30504 33087 33356 44116 50034 66174 66712 88232 100068 132348 160207 200136 264696 320414 341899 480621 640828 683798 961242 1025697 1281656 1367596 1922484 2051394 2735192 3844968 4102788 4966417 6568487 8205576 9932834 13136974 14899251 19705461 19865668 26273948 29798502 39410922 39731336 43095683 52547896 59597004 78821844 86191366 119194008 129287049 157643688 172382732 203623097 258574098 344765464 407246194 517148196 610869291 814492388 1034296392 1221738582 1335966173 1628984776 1766923003 2443477164 2671932346 3533846006 4007898519 4886954328 5300769009 5343864692 7067692012 8015797038 10601538018 10687729384 14135384024 16031594076 21203076036 32063188152 42406152072 54774613093 109549226186 164323839279 219098452372 328647678558 438196904744 657295357116 1314590714232