Search a number
-
+
104460103303072 = 25113110392941327
BaseRepresentation
bin10111110000000110000011…
…010110011011111110100000
3111200212021210012112202010121
4113300012003112123332200
5102142433242421144242
61010100150423210024
731000664511534256
oct2760060326337640
9450767705482117
10104460103303072
1130314310055340
12b8710992a6914
134639712538c6a
141bb1c787b85d6
15c123a89ce667
hex5f018359bfa0

104460103303072 has 96 divisors (see below), whose sum is σ = 233837407125504. Its totient is φ = 45504073209600.

The previous prime is 104460103303057. The next prime is 104460103303111. The reversal of 104460103303072 is 270303301064401.

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 15 ways as a sum of consecutive naturals, for example, 45346728 + ... + 47594599.

It is an arithmetic number, because the mean of its divisors is an integer number (2435806324224).

Almost surely, 2104460103303072 is an apocalyptic number.

It is an amenable number.

104460103303072 is an abundant number, since it is smaller than the sum of its proper divisors (129377303822432).

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

104460103303072 is a wasteful number, since it uses less digits than its factorization.

104460103303072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92941482 (or 92941474 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

Adding to 104460103303072 its reverse (270303301064401), we get a palindrome (374763404367473).

The spelling of 104460103303072 in words is "one hundred four trillion, four hundred sixty billion, one hundred three million, three hundred three thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 103 124 176 206 248 341 352 412 496 682 824 992 1133 1364 1648 2266 2728 3193 3296 4532 5456 6386 9064 10912 12772 18128 25544 35123 36256 51088 70246 102176 140492 280984 561968 1123936 92941327 185882654 371765308 743530616 1022354597 1487061232 2044709194 2881181137 2974122464 4089418388 5762362274 8178836776 9572956681 11524724548 16357673552 19145913362 23049449096 31692992507 32715347104 38291826724 46098898192 63385985014 76583653448 92197796384 105302523491 126771970028 153167306896 210605046982 253543940056 296761657111 306334613792 421210093964 507087880112 593523314222 842420187928 1014175760224 1187046628444 1684840375856 2374093256888 3264378228221 3369680751712 4748186513776 6528756456442 9496373027552 13057512912884 26115025825768 52230051651536 104460103303072