Search a number
-
+
10120044144 = 243797310507
BaseRepresentation
bin10010110110011001…
…11001111001110000
3222010021122111201210
421123030321321300
5131211212403034
64352111400120
7505532645610
oct113314717160
928107574653
1010120044144
114323556a51
121b65223040
13c5382b502
146c0090a40
153e36c18e9
hex25b339e70

10120044144 has 80 divisors (see below), whose sum is σ = 30186345728. Its totient is φ = 2861623296.

The previous prime is 10120044139. The next prime is 10120044163. The reversal of 10120044144 is 44144002101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10120044144.

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, 122662 + ... + 187845.

Almost surely, 210120044144 is an apocalyptic number.

10120044144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10120044144 is an abundant number, since it is smaller than the sum of its proper divisors (20066301584).

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

10120044144 is a wasteful number, since it uses less digits than its factorization.

10120044144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310622 (or 310616 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 10120044144 its reverse (44144002101), we get a palindrome (54264046245).

The spelling of 10120044144 in words is "ten billion, one hundred twenty million, forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 97 112 168 194 291 336 388 582 679 776 1164 1358 1552 2037 2328 2716 4074 4656 5432 8148 10864 16296 32592 310507 621014 931521 1242028 1863042 2173549 2484056 3726084 4347098 4968112 6520647 7452168 8694196 13041294 14904336 17388392 26082588 30119179 34776784 52165176 60238358 90357537 104330352 120476716 180715074 210834253 240953432 361430148 421668506 481906864 632502759 722860296 843337012 1265005518 1445720592 1686674024 2530011036 3373348048 5060022072 10120044144