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154134016265640 = 233519128415264593
BaseRepresentation
bin100011000010111100011111…
…010010011000110110101000
3202012202001211121102011200210
4203002330133102120312220
5130200312431131000030
61303452104535501120
744315546416214235
oct4302743722306650
9665661747364623
10154134016265640
1145125961a09864
12153542562277a0
136800a106342c8
142a0c1aa3b078c
1512c45a5b37bb0
hex8c2f1f498da8

154134016265640 has 128 divisors (see below), whose sum is σ = 486776996265600. Its totient is φ = 38936080097280.

The previous prime is 154134016265639. The next prime is 154134016265651. The reversal of 154134016265640 is 46562610431451.

154134016265640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 154134016265640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26645184 + ... + 31909776.

It is an arithmetic number, because the mean of its divisors is an integer number (3802945283325).

Almost surely, 2154134016265640 is an apocalyptic number.

154134016265640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

154134016265640 is an abundant number, since it is smaller than the sum of its proper divisors (332642979999960).

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

154134016265640 is a wasteful number, since it uses less digits than its factorization.

154134016265640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5277467 (or 5277463 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 154134016265640 in words is "one hundred fifty-four trillion, one hundred thirty-four billion, sixteen million, two hundred sixty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 12841 25682 38523 51364 64205 77046 102728 128410 154092 192615 243979 256820 308184 385230 487958 513640 731937 770460 975916 1219895 1463874 1540920 1951832 2439790 2927748 3659685 4879580 5264593 5855496 7319370 9759160 10529186 14638740 15793779 21058372 26322965 29277480 31587558 42116744 52645930 63175116 78968895 100027267 105291860 126350232 157937790 200054534 210583720 300081801 315875580 400109068 500136335 600163602 631751160 800218136 1000272670 1200327204 1500409005 2000545340 2400654408 3000818010 4001090680 6001636020 12003272040 67602638713 135205277426 202807916139 270410554852 338013193565 405615832278 540821109704 676026387130 811231664556 1014039580695 1284450135547 1352052774260 1622463329112 2028079161390 2568900271094 2704105548520 3853350406641 4056158322780 5137800542188 6422250677735 7706700813282 8112316645560 10275601084376 12844501355470 15413401626564 19266752033205 25689002710940 30826803253128 38533504066410 51378005421880 77067008132820 154134016265640