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10374423440 = 2457111931531
BaseRepresentation
bin10011010100101110…
…10010001110010000
3222210000022022112012
421222113102032100
5132221323022230
64433235522052
7515042100323
oct115227221620
928700268465
1010374423440
114444100977
122016459328
13c944452c4
14705b8a7ba
1540abbd395
hex26a5d2390

10374423440 has 80 divisors (see below), whose sum is σ = 24496753536. Its totient is φ = 4085222400.

The previous prime is 10374423427. The next prime is 10374423461. The reversal of 10374423440 is 4432447301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 10374423397 and 10374423406.

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, 6775475 + ... + 6777005.

Almost surely, 210374423440 is an apocalyptic number.

10374423440 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 10374423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12248376768).

10374423440 is an abundant number, since it is smaller than the sum of its proper divisors (14122330096).

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

10374423440 is a wasteful number, since it uses less digits than its factorization.

10374423440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 32.

The spelling of 10374423440 in words is "ten billion, three hundred seventy-four million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1193 1420 1531 2386 2840 3062 4772 5680 5965 6124 7655 9544 11930 12248 15310 19088 23860 24496 30620 47720 61240 84703 95440 108701 122480 169406 217402 338812 423515 434804 543505 677624 847030 869608 1087010 1355248 1694060 1739216 1826483 2174020 3388120 3652966 4348040 6776240 7305932 8696080 9132415 14611864 18264830 29223728 36529660 73059320 129680293 146118640 259360586 518721172 648401465 1037442344 1296802930 2074884688 2593605860 5187211720 10374423440