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104134053024 = 25322295233019
BaseRepresentation
bin110000011111011011…
…1111000110010100000
3100221210021120222212200
41200332313320302200
53201231304144044
6115501042053200
710344352563141
oct1407667706240
9327707528780
10104134053024
1140187a5a351
121822234a200
139a87138671
14507c10bac8
152a9713e369
hex183edf8ca0

104134053024 has 144 divisors (see below), whose sum is σ = 298091757600. Its totient is φ = 34482267648.

The previous prime is 104134052947. The next prime is 104134053041. The reversal of 104134053024 is 420350431401.

It is a happy number.

104134053024 is a `hidden beast` number, since 10 + 4 + 1 + 340 + 5 + 302 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 34491387 + ... + 34494405.

It is an arithmetic number, because the mean of its divisors is an integer number (2070081650).

Almost surely, 2104134053024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104134053024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149045878800).

104134053024 is an abundant number, since it is smaller than the sum of its proper divisors (193957704576).

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

104134053024 is a wasteful number, since it uses less digits than its factorization.

104134053024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3787 (or 3776 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 104134053024 its reverse (420350431401), we get a palindrome (524484484425).

The spelling of 104134053024 in words is "one hundred four billion, one hundred thirty-four million, fifty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 229 288 458 523 687 916 1046 1374 1569 1832 2061 2092 2748 3019 3138 3664 4122 4184 4707 5496 6038 6276 7328 8244 8368 9057 9414 10992 12076 12552 16488 16736 18114 18828 21984 24152 25104 27171 32976 36228 37656 48304 50208 54342 65952 72456 75312 96608 108684 119767 144912 150624 217368 239534 289824 359301 434736 479068 691351 718602 869472 958136 1077903 1382702 1437204 1578937 1916272 2074053 2155806 2765404 2874408 3157874 3832544 4148106 4311612 4736811 5530808 5748816 6222159 6315748 8296212 8623224 9473622 11061616 11497632 12444318 12631496 14210433 16592424 17246448 18947244 22123232 24888636 25262992 28420866 33184848 34492896 37894488 49777272 50525984 56841732 66369696 75788976 99554544 113683464 151577952 199109088 227366928 361576573 454733856 723153146 1084729719 1446306292 2169459438 2892612584 3254189157 4338918876 5785225168 6508378314 8677837752 11570450336 13016756628 17355675504 26033513256 34711351008 52067026512 104134053024