Search a number
-
+
3455168916120 = 23351715493109321
BaseRepresentation
bin110010010001111000000…
…111011010101010011000
3110020022101122212221222120
4302101320013122222120
5423102141220303440
611203141021021240
7504425210131125
oct62217007325230
913208348787876
103455168916120
111112368860329
124797750b4820
131c0a89a5c6bc
14bd33409b74c
155ed246a2dd0
hex324781daa98

3455168916120 has 128 divisors (see below), whose sum is σ = 10976051240640. Its totient is φ = 867115745280.

The previous prime is 3455168916091. The next prime is 3455168916163. The reversal of 3455168916120 is 216198615543.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31551060 + ... + 31660380.

Almost surely, 23455168916120 is an apocalyptic number.

3455168916120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3455168916120 is an abundant number, since it is smaller than the sum of its proper divisors (7520882324520).

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

3455168916120 is a wasteful number, since it uses less digits than its factorization.

3455168916120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124845 (or 124841 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 3455168916120 in words is "three trillion, four hundred fifty-five billion, one hundred sixty-eight million, nine hundred sixteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 15493 30986 46479 61972 77465 92958 109321 123944 154930 185916 218642 232395 263381 309860 327963 371832 437284 464790 526762 546605 619720 655926 790143 874568 929580 1053524 1093210 1311852 1316905 1580286 1639815 1858457 1859160 2107048 2186420 2623704 2633810 3160572 3279630 3716914 3950715 4372840 5267620 5575371 6321144 6559260 7433828 7901430 9292285 10535240 11150742 13118520 14867656 15802860 18584570 22301484 27876855 31605720 37169140 44602968 55753710 74338280 111507420 223014840 1693710253 3387420506 5081130759 6774841012 8468551265 10162261518 13549682024 16937102530 20324523036 25405653795 28793074301 33874205060 40649046072 50811307590 57586148602 67748410120 86379222903 101622615180 115172297204 143965371505 172758445806 203245230360 230344594408 287930743010 345516891612 431896114515 575861486020 691033783224 863792229030 1151722972040 1727584458060 3455168916120