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10034442024 = 23323107169891
BaseRepresentation
bin10010101100001100…
…10110111100101000
3221220022120110200220
421112012112330220
5131022304121044
64335412530040
7503443231005
oct112606267450
927808513626
1010034442024
11428a1a98a2
121b40620920
13c3bb89279
146b296a8ac
153dae13019
hex256196f28

10034442024 has 64 divisors (see below), whose sum is σ = 26421603840. Its totient is φ = 3169467840.

The previous prime is 10034441983. The next prime is 10034442037. The reversal of 10034442024 is 42024443001.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 10034441985 and 10034442003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25882 + ... + 144009.

It is an arithmetic number, because the mean of its divisors is an integer number (412837560).

Almost surely, 210034442024 is an apocalyptic number.

It is an amenable number.

10034442024 is an abundant number, since it is smaller than the sum of its proper divisors (16387161816).

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

10034442024 is a wasteful number, since it uses less digits than its factorization.

10034442024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170030 (or 170026 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10034442024 its reverse (42024443001), we get a palindrome (52058885025).

The spelling of 10034442024 in words is "ten billion, thirty-four million, four hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 107 138 184 214 276 321 428 552 642 856 1284 2461 2568 4922 7383 9844 14766 19688 29532 59064 169891 339782 509673 679564 1019346 1359128 2038692 3907493 4077384 7814986 11722479 15629972 18178337 23444958 31259944 36356674 46889916 54535011 72713348 93779832 109070022 145426696 218140044 418101751 436280088 836203502 1254305253 1672407004 2508610506 3344814008 5017221012 10034442024