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104314155440 = 24511499323741
BaseRepresentation
bin110000100100110011…
…0111011000110110000
3100222020211111010221112
41201021212323012300
53202113410433230
6115530554212452
710352000456105
oct1411146730660
9328224433845
10104314155440
114026a691a20
1218272724128
139ab5547041
145097dd0aac
152aa7d67d95
hex18499bb1b0

104314155440 has 80 divisors (see below), whose sum is σ = 264642767136. Its totient is φ = 37923225600.

The previous prime is 104314155437. The next prime is 104314155461. The reversal of 104314155440 is 44551413401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 104314155397 and 104314155406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4381970 + ... + 4405710.

Almost surely, 2104314155440 is an apocalyptic number.

104314155440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104314155440 is an abundant number, since it is smaller than the sum of its proper divisors (160328611696).

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

104314155440 is a wasteful number, since it uses less digits than its factorization.

104314155440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28758 (or 28752 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 104314155440 its reverse (44551413401), we get a palindrome (148865568841).

The spelling of 104314155440 in words is "one hundred four billion, three hundred fourteen million, one hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 4993 9986 19972 23741 24965 39944 47482 49930 54923 79888 94964 99860 109846 118705 189928 199720 219692 237410 261151 274615 379856 399440 439384 474820 522302 549230 878768 949640 1044604 1098460 1305755 1899280 2089208 2196920 2611510 4178416 4393840 5223020 10446040 20892080 118538813 237077626 474155252 592694065 948310504 1185388130 1303926943 1896621008 2370776260 2607853886 4741552520 5215707772 6519634715 9483105040 10431415544 13039269430 20862831088 26078538860 52157077720 104314155440