Search a number
-
+
10134110431424 = 267208710838899
BaseRepresentation
bin1001001101111000100000…
…0011010110100011000000
31022212210220120200001100002
42103132020003112203000
52312014124232301144
633315313541015132
72064110463244610
oct223361003264300
938783816601302
1010134110431424
113257941163111
1211780850b44a8
135868477a82a5
142706ca496a40
15128928a9214e
hex937880d68c0

10134110431424 has 56 divisors (see below), whose sum is σ = 22993729171200. Its totient is φ = 4341108715776.

The previous prime is 10134110431337. The next prime is 10134110431433. The reversal of 10134110431424 is 42413401143101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

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 7 ways as a sum of consecutive naturals, for example, 4484474 + ... + 6354425.

Almost surely, 210134110431424 is an apocalyptic number.

10134110431424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10134110431424 is an abundant number, since it is smaller than the sum of its proper divisors (12859618739776).

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

10134110431424 is a wasteful number, since it uses less digits than its factorization.

10134110431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10841005 (or 10840995 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 10134110431424 its reverse (42413401143101), we get a palindrome (52547511574525).

The spelling of 10134110431424 in words is "ten trillion, one hundred thirty-four billion, one hundred ten million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 2087 4174 8348 14609 16696 29218 33392 58436 66784 116872 133568 233744 467488 934976 10838899 21677798 43355596 75872293 86711192 151744586 173422384 303489172 346844768 606978344 693689536 1213956688 2427913376 4855826752 22620782213 45241564426 90483128852 158345475491 180966257704 316690950982 361932515408 633381901964 723865030816 1266763803928 1447730061632 2533527607856 5067055215712 10134110431424