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10030905440 = 255471996703
BaseRepresentation
bin10010101011110001…
…10111100001100000
3221220001220210102022
421111320313201200
5131020402433230
64335205041012
7503401201163
oct112570674140
927801823368
1010030905440
1142882037a6
121b3b3b6168
13c3b21b60a
146b22c9ada
153da9651e5
hex255e37860

10030905440 has 96 divisors (see below), whose sum is σ = 24327475200. Its totient is φ = 3906676224.

The previous prime is 10030905419. The next prime is 10030905481. The reversal of 10030905440 is 4450903001.

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, 1493129 + ... + 1499831.

It is an arithmetic number, because the mean of its divisors is an integer number (253411200).

Almost surely, 210030905440 is an apocalyptic number.

10030905440 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 10030905440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12163737600).

10030905440 is an abundant number, since it is smaller than the sum of its proper divisors (14296569760).

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

10030905440 is a wasteful number, since it uses less digits than its factorization.

10030905440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6964 (or 6956 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The spelling of 10030905440 in words is "ten billion, thirty million, nine hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 199 235 376 398 470 752 796 940 995 1504 1592 1880 1990 3184 3760 3980 6368 6703 7520 7960 9353 13406 15920 18706 26812 31840 33515 37412 46765 53624 67030 74824 93530 107248 134060 149648 187060 214496 268120 299296 315041 374120 536240 630082 748240 1072480 1260164 1333897 1496480 1575205 2520328 2667794 3150410 5040656 5335588 6300820 6669485 10081312 10671176 12601640 13338970 21342352 25203280 26677940 42684704 50406560 53355880 62693159 106711760 125386318 213423520 250772636 313465795 501545272 626931590 1003090544 1253863180 2006181088 2507726360 5015452720 10030905440