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1332044132992 = 27237312914801
BaseRepresentation
bin10011011000100100000…
…001000111001010000000
311201100020110001001220121
4103120210001013022000
5133311011244223432
62455533240350024
7165144203212546
oct23304401071200
94640213031817
101332044132992
11473a0a206631
121961aaa75314
13987c3b19691
1448685299d96
15249b222d197
hex13624047280

1332044132992 has 128 divisors (see below), whose sum is σ = 2809750849920. Its totient is φ = 627720192000.

The previous prime is 1332044132983. The next prime is 1332044133037. The reversal of 1332044132992 is 2992314402331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277448992 + ... + 277453792.

It is an arithmetic number, because the mean of its divisors is an integer number (21951178515).

Almost surely, 21332044132992 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 1332044132992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404875424960).

1332044132992 is an abundant number, since it is smaller than the sum of its proper divisors (1477706716928).

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

1332044132992 is a wasteful number, since it uses less digits than its factorization.

1332044132992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6202 (or 6190 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 43.

The spelling of 1332044132992 in words is "one trillion, three hundred thirty-two billion, forty-four million, one hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 23 32 46 64 73 92 128 146 184 292 368 584 736 1168 1291 1472 1679 2336 2582 2944 3358 4672 4801 5164 6716 9344 9602 10328 13432 19204 20656 26864 29693 38408 41312 53728 59386 76816 82624 94243 107456 110423 118772 153632 165248 188486 214912 220846 237544 307264 350473 376972 441692 475088 614528 700946 753944 883384 950176 1401892 1507888 1766768 1900352 2167589 2803784 3015776 3533536 3800704 4335178 5607568 6031552 6198091 7067072 8060879 8670356 11215136 12063104 12396182 14134144 16121758 17340712 22430272 24792364 32243516 34681424 44860544 49584728 64487032 69362848 99169456 128974064 138725696 142556093 198338912 257948128 277451392 285112186 396677824 452460643 515896256 570224372 793355648 904921286 1031792512 1140448744 1809842572 2280897488 3619685144 4561794976 7239370288 9123589952 10406594789 14478740576 18247179904 20813189578 28957481152 41626379156 57914962304 83252758312 166505516624 333011033248 666022066496 1332044132992