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137470568040 = 23335139791351
BaseRepresentation
bin1000000000000111100…
…0100110011001101000
3111010211120010102102000
42000001320212121220
54223014431134130
6143053023211000
712634435356051
oct2000170463150
9433746112360
10137470568040
1153334608503
1222786746a60
13cc6a8292b0
146921719728
153898b30260
hex2001e26668

137470568040 has 128 divisors (see below), whose sum is σ = 493484140800. Its totient is φ = 33838905600.

The previous prime is 137470567973. The next prime is 137470568057. The reversal of 137470568040 is 40865074731.

137470568040 is a `hidden beast` number, since 1 + 3 + 7 + 47 + 0 + 568 + 0 + 40 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 4881636 + ... + 4909715.

It is an arithmetic number, because the mean of its divisors is an integer number (3855344850).

Almost surely, 2137470568040 is an apocalyptic number.

137470568040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137470568040 is an abundant number, since it is smaller than the sum of its proper divisors (356013572760).

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

137470568040 is a wasteful number, since it uses less digits than its factorization.

137470568040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9791384 (or 9791374 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 137470568040 in words is "one hundred thirty-seven billion, four hundred seventy million, five hundred sixty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 9791351 19582702 29374053 39165404 48956755 58748106 78330808 88122159 97913510 117496212 127287563 146870265 176244318 195827020 234992424 254575126 264366477 293740530 352488636 381862689 391654040 440610795 509150252 528732954 587481060 636437815 704977272 763725378 881221590 1018300504 1057465908 1145588067 1174962120 1272875630 1321832385 1527450756 1762443180 1909313445 2114931816 2291176134 2545751260 2643664770 3054901512 3436764201 3524886360 3818626890 4582352268 5091502520 5287329540 5727940335 6873528402 7637253780 9164704536 10574659080 11455880670 13747056804 15274507560 17183821005 22911761340 27494113608 34367642010 45823522680 68735284020 137470568040