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1139728008240 = 243255572841931
BaseRepresentation
bin10000100101011101000…
…101010100010000110000
311000221211121022200200100
4100211131011110100300
5122133130332230430
62231330034352400
7145225344140313
oct20453505242060
94027747280610
101139728008240
113aa3a0825658
12164a7872b700
13836256b8263
143d23d8b297a
151e9a865c960
hex1095d154430

1139728008240 has 120 divisors (see below), whose sum is σ = 3834459699408. Its totient is φ = 303381711360.

The previous prime is 1139728008163. The next prime is 1139728008241. The reversal of 1139728008240 is 428008279311.

It is a happy number.

1139728008240 is a `hidden beast` number, since 11 + 397 + 2 + 8 + 0 + 0 + 8 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1139728008241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1019926 + ... + 1822005.

Almost surely, 21139728008240 is an apocalyptic number.

1139728008240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1139728008240 is an abundant number, since it is smaller than the sum of its proper divisors (2694731691168).

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

1139728008240 is a wasteful number, since it uses less digits than its factorization.

1139728008240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842507 (or 2842498 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1139728008240 in words is "one trillion, one hundred thirty-nine billion, seven hundred twenty-eight million, eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 557 720 1114 1671 2228 2785 3342 4456 5013 5570 6684 8355 8912 10026 11140 13368 16710 20052 22280 25065 26736 33420 40104 44560 50130 66840 80208 100260 133680 200520 401040 2841931 5683862 8525793 11367724 14209655 17051586 22735448 25577379 28419310 34103172 42628965 45470896 51154758 56838620 68206344 85257930 102309516 113677240 127886895 136412688 170515860 204619032 227354480 255773790 341031720 409238064 511547580 682063440 1023095160 1582955567 2046190320 3165911134 4748866701 6331822268 7914777835 9497733402 12663644536 14246600103 15829555670 18995466804 23744333505 25327289072 28493200206 31659111340 37990933608 47488667010 56986400412 63318222680 71233000515 75981867216 94977334020 113972800824 126636445360 142466001030 189954668040 227945601648 284932002060 379909336080 569864004120 1139728008240