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10150144004 = 22721113362143
BaseRepresentation
bin10010111001111111…
…01110100000000100
3222012101021201222102
421130333232200010
5131241414102004
64355104451232
7506346541400
oct113477564004
928171251872
1010150144004
114339545470
121b73319b18
13c59b39a90
146c4088100
153e616a11e
hex25cfee804

10150144004 has 72 divisors (see below), whose sum is σ = 24275236608. Its totient is φ = 3650391360.

The previous prime is 10150143893. The next prime is 10150144019. The reversal of 10150144004 is 40044105101.

10150144004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 153044 + ... + 209099.

It is an arithmetic number, because the mean of its divisors is an integer number (337156064).

Almost surely, 210150144004 is an apocalyptic number.

10150144004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10150144004 is an abundant number, since it is smaller than the sum of its proper divisors (14125092604).

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

10150144004 is a wasteful number, since it uses less digits than its factorization.

10150144004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362185 (or 362176 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 10150144004 its reverse (40044105101), we get a palindrome (50194249105).

It can be divided in two parts, 101 and 50144004, that added together give a palindrome (50144105).

The spelling of 10150144004 in words is "ten billion, one hundred fifty million, one hundred forty-four thousand, four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 182 196 286 308 364 539 572 637 1001 1078 1274 2002 2156 2548 4004 7007 14014 28028 362143 724286 1448572 2535001 3983573 4707859 5070002 7967146 9415718 10140004 15934292 17745007 18831436 27885011 32955013 35490014 51786449 55770022 65910026 70980028 103572898 111540044 131820052 195195077 207145796 230685091 362505143 390390154 461370182 725010286 780780308 922740364 1450020572 2537536001 5075072002 10150144004