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120413424240 = 24325792116973
BaseRepresentation
bin111000000100100110…
…0110000101001110000
3102111210211002201221100
41300021030300221300
53433101314033430
6131152301324400
711461646134614
oct1601114605160
9374724081840
10120413424240
114708126994a
121b406266700
13b47ca48cb5
145b84203344
1531eb41b960
hex1c09330a70

120413424240 has 120 divisors (see below), whose sum is σ = 409507450560. Its totient is φ = 31703772672.

The previous prime is 120413424239. The next prime is 120413424269. The reversal of 120413424240 is 42424314021.

120413424240 is a `hidden beast` number, since 1 + 2 + 0 + 413 + 4 + 2 + 4 + 240 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1001607 + ... + 1115366.

It is an arithmetic number, because the mean of its divisors is an integer number (3412562088).

Almost surely, 2120413424240 is an apocalyptic number.

120413424240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120413424240 is an abundant number, since it is smaller than the sum of its proper divisors (289094026320).

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

120413424240 is a wasteful number, since it uses less digits than its factorization.

120413424240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117071 (or 2117062 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 120413424240 its reverse (42424314021), we get a palindrome (162837738261).

The spelling of 120413424240 in words is "one hundred twenty billion, four hundred thirteen million, four hundred twenty-four 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 79 80 90 120 144 158 180 237 240 316 360 395 474 632 711 720 790 948 1185 1264 1422 1580 1896 2370 2844 3160 3555 3792 4740 5688 6320 7110 9480 11376 14220 18960 28440 56880 2116973 4233946 6350919 8467892 10584865 12701838 16935784 19052757 21169730 25403676 31754595 33871568 38105514 42339460 50807352 63509190 76211028 84678920 95263785 101614704 127018380 152422056 167240867 169357840 190527570 254036760 304844112 334481734 381055140 501722601 508073520 668963468 762110280 836204335 1003445202 1337926936 1505167803 1524220560 1672408670 2006890404 2508613005 2675853872 3010335606 3344817340 4013780808 5017226010 6020671212 6689634680 7525839015 8027561616 10034452020 12041342424 13379269360 15051678030 20068904040 24082684848 30103356060 40137808080 60206712120 120413424240