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10044432320 = 2651317142031
BaseRepresentation
bin10010101101011000…
…11101111111000000
3221221000101000210212
421112230131333000
5131032333313240
64340411013252
7503624160146
oct112654357700
927830330725
1010044432320
11429490273a
121b43a3a228
13c40c765a0
146b400b596
153dbc38165
hex256b1dfc0

10044432320 has 112 divisors (see below), whose sum is σ = 27273552768. Its totient is φ = 3490529280.

The previous prime is 10044432301. The next prime is 10044432379. The reversal of 10044432320 is 2323444001.

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, 296 + ... + 141735.

It is an arithmetic number, because the mean of its divisors is an integer number (243513864).

Almost surely, 210044432320 is an apocalyptic number.

10044432320 is a gapful number since it is divisible by the number (10) 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 10044432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13636776384).

10044432320 is an abundant number, since it is smaller than the sum of its proper divisors (17229120448).

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

10044432320 is a wasteful number, since it uses less digits than its factorization.

10044432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142078 (or 142068 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 10044432320 its reverse (2323444001), we get a palindrome (12367876321).

The spelling of 10044432320 in words is "ten billion, forty-four million, four hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 64 65 68 80 85 104 130 136 160 170 208 221 260 272 320 340 416 442 520 544 680 832 884 1040 1088 1105 1360 1768 2080 2210 2720 3536 4160 4420 5440 7072 8840 14144 17680 35360 70720 142031 284062 568124 710155 1136248 1420310 1846403 2272496 2414527 2840620 3692806 4544992 4829054 5681240 7385612 9089984 9232015 9658108 11362480 12072635 14771224 18464030 19316216 22724960 24145270 29542448 31388851 36928060 38632432 45449920 48290540 59084896 62777702 73856120 77264864 96581080 118169792 125555404 147712240 154529728 156944255 193162160 251110808 295424480 313888510 386324320 502221616 590848960 627777020 772648640 1004443232 1255554040 2008886464 2511108080 5022216160 10044432320