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10315161444 = 2237716312741
BaseRepresentation
bin10011001101101010…
…01101111101100100
3222121212210111100110
421212311031331210
5132111140131234
64423321413020
7513422265660
oct114665157544
928555714313
1010315161444
114413704515
121bba63a170
13c85096233
146dbd618a0
154058b41e9
hex266d4df64

10315161444 has 96 divisors (see below), whose sum is σ = 27948920832. Its totient is φ = 2900016000.

The previous prime is 10315161443. The next prime is 10315161473. The reversal of 10315161444 is 44416151301.

It is not an unprimeable number, because it can be changed into a prime (10315161443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3761914 + ... + 3764654.

It is an arithmetic number, because the mean of its divisors is an integer number (291134592).

Almost surely, 210315161444 is an apocalyptic number.

10315161444 is a gapful number since it is divisible by the number (14) 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 10315161444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13974460416).

10315161444 is an abundant number, since it is smaller than the sum of its proper divisors (17633759388).

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

10315161444 is a wasteful number, since it uses less digits than its factorization.

10315161444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3457 (or 3455 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 10315161444 in words is "ten billion, three hundred fifteen million, one hundred sixty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 426 497 631 852 994 1262 1491 1893 1988 2524 2741 2982 3786 4417 5482 5964 7572 8223 8834 10964 13251 16446 17668 19187 26502 32892 38374 44801 53004 57561 76748 89602 115122 134403 179204 194611 230244 268806 313607 389222 537612 583833 627214 778444 940821 1167666 1254428 1362277 1729571 1881642 2335332 2724554 3459142 3763284 4086831 5188713 5449108 6918284 8173662 10377426 12106997 16347324 20754852 24213994 36320991 48427988 72641982 122799541 145283964 245599082 368398623 491198164 736797246 859596787 1473594492 1719193574 2578790361 3438387148 5157580722 10315161444