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1312134967044 = 2234111171314401
BaseRepresentation
bin10011000110000001010…
…101101010111100000100
311122102211221102122120000
4103012001111222330010
5132444223022421134
62442441514041300
7163540633124136
oct23060125527404
94572757378500
101312134967044
11466522a88580
12192373419230
13969701c6505
144771709b056
15241e9455e99
hex1318156af04

1312134967044 has 120 divisors (see below), whose sum is σ = 3745222019616. Its totient is φ = 397275840000.

The previous prime is 1312134966983. The next prime is 1312134967061. The reversal of 1312134967044 is 4407694312131.

It is a happy number.

1312134967044 is a `hidden beast` number, since 1 + 31 + 21 + 3 + 496 + 70 + 44 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4016244 + ... + 4330644.

Almost surely, 21312134967044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312134967044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872611009808).

1312134967044 is an abundant number, since it is smaller than the sum of its proper divisors (2433087052572).

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

1312134967044 is a wasteful number, since it uses less digits than its factorization.

1312134967044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315599 (or 315588 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1312134967044 in words is "one trillion, three hundred twelve billion, one hundred thirty-four million, nine hundred sixty-seven thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1171 1188 1782 2342 3513 3564 4684 7026 10539 12881 14052 21078 25762 31617 38643 42156 51524 63234 77286 94851 115929 126468 154572 189702 231858 314401 347787 379404 463716 628802 695574 943203 1043361 1257604 1391148 1886406 2086722 2829609 3458411 3772812 4173444 5659218 6916822 8488827 10375233 11318436 13833644 16977654 20750466 25466481 31125699 33955308 41500932 50932962 62251398 93377097 101865924 124502796 186754194 280131291 368163571 373508388 560262582 736327142 1104490713 1120525164 1472654284 2208981426 3313472139 4049799281 4417962852 6626944278 8099598562 9940416417 12149397843 13253888556 16199197124 19880832834 24298795686 29821249251 36448193529 39761665668 48597591372 59642498502 72896387058 109344580587 119284997004 145792774116 218689161174 328033741761 437378322348 656067483522 1312134967044