Search a number
-
+
10144456374 = 2313293443881
BaseRepresentation
bin10010111001010100…
…00001111010110110
3222011222120210000110
421130222001322312
5131233440100444
64354342523450
7506250312363
oct113452017266
928158523013
1010144456374
114336310248
121b71436586
13c588c8010
146c340746a
153e58e4cb9
hex25ca81eb6

10144456374 has 32 divisors (see below), whose sum is σ = 21924219744. Its totient is φ = 3110711040.

The previous prime is 10144456373. The next prime is 10144456397. The reversal of 10144456374 is 47365444101.

10144456374 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144456373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199087 + ... + 244794.

It is an arithmetic number, because the mean of its divisors is an integer number (685131867).

Almost surely, 210144456374 is an apocalyptic number.

10144456374 is an abundant number, since it is smaller than the sum of its proper divisors (11779763370).

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

10144456374 is a wasteful number, since it uses less digits than its factorization.

10144456374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444192.

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 10144456374 in words is "ten billion, one hundred forty-four million, four hundred fifty-six thousand, three hundred seventy-four".

Divisors: 1 2 3 6 13 26 39 78 293 586 879 1758 3809 7618 11427 22854 443881 887762 1331643 2663286 5770453 11540906 17311359 34622718 130057133 260114266 390171399 780342798 1690742729 3381485458 5072228187 10144456374