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10144500304 = 2417475091559
BaseRepresentation
bin10010111001010100…
…01100101001010000
3222011222200000021111
421130222030221100
5131233443002204
64354343503104
7506250554431
oct113452145120
928158600244
1010144500304
114336340254
121b71457a94
13c58912003
146c3419488
153e5902d04
hex25ca8ca50

10144500304 has 80 divisors (see below), whose sum is σ = 21309350400. Its totient is φ = 4660140032.

The previous prime is 10144500241. The next prime is 10144500319. The reversal of 10144500304 is 40300544101.

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, 6506277 + ... + 6507835.

It is an arithmetic number, because the mean of its divisors is an integer number (266366880).

Almost surely, 210144500304 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 10144500304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10654675200).

10144500304 is an abundant number, since it is smaller than the sum of its proper divisors (11164850096).

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

10144500304 is a wasteful number, since it uses less digits than its factorization.

10144500304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The spelling of 10144500304 in words is "ten billion, one hundred forty-four million, five hundred thousand, three hundred four".

Divisors: 1 2 4 8 16 17 34 47 68 94 136 188 272 376 509 752 799 1018 1559 1598 2036 3118 3196 4072 6236 6392 8144 8653 12472 12784 17306 23923 24944 26503 34612 47846 53006 69224 73273 95692 106012 138448 146546 191384 212024 293092 382768 406691 424048 586184 793531 813382 1172368 1245641 1587062 1626764 2491282 3174124 3253528 4982564 6348248 6507056 9965128 12696496 13490027 19930256 26980054 37295957 53960108 74591914 107920216 149183828 215840432 298367656 596735312 634031269 1268062538 2536125076 5072250152 10144500304