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1141901132960 = 25571759973799
BaseRepresentation
bin10000100111011110100…
…111001000010010100000
311001011110001102212101002
4100213132213020102200
5122202103142223320
62232325424131132
7145333242324020
oct20473647102240
94034401385332
101141901132960
114003064693a5
12165384466aa8
13838b0999c83
143d3a8355a80
151ea8431b675
hex109de9c84a0

1141901132960 has 96 divisors (see below), whose sum is σ = 3264493881600. Its totient is φ = 368479014912.

The previous prime is 1141901132921. The next prime is 1141901133007. The reversal of 1141901132960 is 692311091411.

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 15 ways as a sum of consecutive naturals, for example, 29967860 + ... + 30005939.

It is an arithmetic number, because the mean of its divisors is an integer number (34005144600).

Almost surely, 21141901132960 is an apocalyptic number.

1141901132960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141901132960 is an abundant number, since it is smaller than the sum of its proper divisors (2122592748640).

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

1141901132960 is a wasteful number, since it uses less digits than its factorization.

1141901132960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59973838 (or 59973830 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 38.

The spelling of 1141901132960 in words is "one trillion, one hundred forty-one billion, nine hundred one million, one hundred thirty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 68 70 80 85 112 119 136 140 160 170 224 238 272 280 340 476 544 560 595 680 952 1120 1190 1360 1904 2380 2720 3808 4760 9520 19040 59973799 119947598 239895196 299868995 419816593 479790392 599737990 839633186 959580784 1019554583 1199475980 1679266372 1919161568 2039109166 2099082965 2398951960 3358532744 4078218332 4198165930 4797903920 5097772915 6717065488 7136882081 8156436664 8396331860 9595807840 10195545830 13434130976 14273764162 16312873328 16792663720 20391091660 28547528324 32625746656 33585327440 35684410405 40782183320 57095056648 67170654880 71368820810 81564366640 114190113296 142737641620 163128733280 228380226592 285475283240 570950566480 1141901132960