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104134310016 = 27311171450177
BaseRepresentation
bin110000011111011100…
…0110111100010000000
3100221210022002001101220
41200332320313202000
53201231340410031
6115501051355040
710344355013322
oct1407670674200
9327708061356
10104134310016
1140188115440
1218222452a80
139a871c8629
14507c177612
152a97190596
hex183ee37880

104134310016 has 128 divisors (see below), whose sum is σ = 319503216960. Its totient is φ = 29699604480.

The previous prime is 104134310009. The next prime is 104134310023. The reversal of 104134310016 is 610013431401.

It is an interprime number because it is at equal distance from previous prime (104134310009) and next prime (104134310023).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 653281 + ... + 796896.

Almost surely, 2104134310016 is an apocalyptic number.

104134310016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

104134310016 is an abundant number, since it is smaller than the sum of its proper divisors (215368906944).

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

104134310016 is a wasteful number, since it uses less digits than its factorization.

104134310016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450222 (or 1450210 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 104134310016 its reverse (610013431401), we get a palindrome (714147741417).

The spelling of 104134310016 in words is "one hundred four billion, one hundred thirty-four million, three hundred ten thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 264 272 352 374 384 408 528 544 561 704 748 816 1056 1088 1122 1408 1496 1632 2112 2176 2244 2992 3264 4224 4488 5984 6528 8976 11968 17952 23936 35904 71808 1450177 2900354 4350531 5800708 8701062 11601416 15951947 17402124 23202832 24653009 31903894 34804248 46405664 47855841 49306018 63807788 69608496 73959027 92811328 95711682 98612036 127615576 139216992 147918054 185622656 191423364 197224072 255231152 271183099 278433984 295836108 382846728 394448144 510462304 542366198 556867968 591672216 765693456 788896288 813549297 1020924608 1084732396 1183344432 1531386912 1577792576 1627098594 2041849216 2169464792 2366688864 3062773824 3155585152 3254197188 4338929584 4733377728 6125547648 6508394376 8677859168 9466755456 13016788752 17355718336 26033577504 34711436672 52067155008 104134310016