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10134530524144 = 2413197093616933
BaseRepresentation
bin1001001101111010000100…
…0101111000001111110000
31022212211222212010222012201
42103132201011320033300
52312021004303233034
633315423345032544
72064124054052665
oct223364105701760
938784885128181
1010134530524144
113258037301a84
121178181925754
135868b3833270
1427072a1aba6c
151289508c4014
hex937a11783f0

10134530524144 has 80 divisors (see below), whose sum is σ = 22290440855200. Its totient is φ = 4425041415168.

The previous prime is 10134530524123. The next prime is 10134530524213. The reversal of 10134530524144 is 44142503543101.

It is a happy number.

It is a congruent number.

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, 993502 + ... + 4610434.

It is an arithmetic number, because the mean of its divisors is an integer number (278630510690).

Almost surely, 210134530524144 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 10134530524144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11145220427600).

10134530524144 is an abundant number, since it is smaller than the sum of its proper divisors (12155910331056).

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

10134530524144 is a wasteful number, since it uses less digits than its factorization.

10134530524144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3617682 (or 3617676 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The spelling of 10134530524144 in words is "ten trillion, one hundred thirty-four billion, five hundred thirty million, five hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 709 988 1418 1976 2836 3952 5672 9217 11344 13471 18434 26942 36868 53884 73736 107768 147472 175123 215536 350246 700492 1400984 2801968 3616933 7233866 14467732 28935464 47020129 57870928 68721727 94040258 137443454 188080516 274886908 376161032 549773816 752322064 893382451 1099547632 1786764902 2564405497 3573529804 5128810994 7147059608 10257621988 14294119216 20515243976 33337271461 41030487952 48723704443 66674542922 97447408886 133349085844 194894817772 266698171688 389789635544 533396343376 633408157759 779579271088 1266816315518 2533632631036 5067265262072 10134530524144