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104124534024 = 233714917212417
BaseRepresentation
bin110000011111001001…
…1100100110100001000
3100221202121200101021010
41200332103210310020
53201221340042044
6115500102043520
710344205636020
oct1407623446410
9327677611233
10104124534024
1140182648605
121821b1195a0
139a85184a14
14507ab50a80
152a963adbb9
hex183e4e4d08

104124534024 has 128 divisors (see below), whose sum is σ = 299793312000. Its totient is φ = 29520814080.

The previous prime is 104124534023. The next prime is 104124534029. The reversal of 104124534024 is 420435421401.

It is a junction number, because it is equal to n+sod(n) for n = 104124533982 and 104124534000.

It is not an unprimeable number, because it can be changed into a prime (104124534023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43078864 + ... + 43081280.

It is an arithmetic number, because the mean of its divisors is an integer number (2342135250).

Almost surely, 2104124534024 is an apocalyptic number.

104124534024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104124534024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149896656000).

104124534024 is an abundant number, since it is smaller than the sum of its proper divisors (195668777976).

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

104124534024 is a wasteful number, since it uses less digits than its factorization.

104124534024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4303 (or 4299 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 104124534024 its reverse (420435421401), we get a palindrome (524559955425).

The spelling of 104124534024 in words is "one hundred four billion, one hundred twenty-four million, five hundred thirty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 149 168 298 447 596 894 1043 1192 1721 1788 2086 2417 3129 3442 3576 4172 4834 5163 6258 6884 7251 8344 9668 10326 12047 12516 13768 14502 16919 19336 20652 24094 25032 29004 33838 36141 41304 48188 50757 58008 67676 72282 96376 101514 135352 144564 203028 256429 289128 360133 406056 512858 720266 769287 1025716 1080399 1440532 1538574 1795003 2051432 2160798 2520931 2881064 3077148 3590006 4159657 4321596 5041862 5385009 6154296 7180012 7562793 8319314 8643192 10083724 10770018 12478971 14360024 15125586 16638628 20167448 21540036 24957942 29117599 30251172 33277256 43080072 49915884 58235198 60502344 87352797 99831768 116470396 174705594 232940792 349411188 619788893 698822376 1239577786 1859366679 2479155572 3718733358 4338522251 4958311144 7437466716 8677044502 13015566753 14874933432 17354089004 26031133506 34708178008 52062267012 104124534024