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11420131304032 = 2511257677186469
BaseRepresentation
bin1010011000101111010011…
…0111101010001001100000
31111102202100120211020211021
42212023310313222021200
52444101412103212112
640142200315255224
72256035333302663
oct246136467521140
944382316736737
1011420131304032
113703283442a60
12134536aa4a514
1364abb56c11c9
142b6a4723d6da
1514c0e5608907
hexa62f4dea260

11420131304032 has 96 divisors (see below), whose sum is σ = 24659267179680. Its totient is φ = 5163104993280.

The previous prime is 11420131303969. The next prime is 11420131304063. The reversal of 11420131304032 is 23040313102411.

It is a junction number, because it is equal to n+sod(n) for n = 11420131303988 and 11420131304006.

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, 61150894 + ... + 61337362.

It is an arithmetic number, because the mean of its divisors is an integer number (256867366455).

Almost surely, 211420131304032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11420131304032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12329633589840).

11420131304032 is an abundant number, since it is smaller than the sum of its proper divisors (13239135875648).

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

11420131304032 is a wasteful number, since it uses less digits than its factorization.

11420131304032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187424 (or 187416 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 11420131304032 its reverse (23040313102411), we get a palindrome (34460444406443).

The spelling of 11420131304032 in words is "eleven trillion, four hundred twenty billion, one hundred thirty-one million, three hundred four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 257 352 514 677 1028 1354 2056 2708 2827 4112 5416 5654 7447 8224 10832 11308 14894 21664 22616 29788 45232 59576 90464 119152 173989 186469 238304 347978 372938 695956 745876 1391912 1491752 1913879 2051159 2783824 2983504 3827758 4102318 5567648 5967008 7655516 8204636 15311032 16409272 30622064 32818544 47922533 61244128 65637088 95845066 126239513 191690132 252479026 383380264 504958052 527147863 766760528 1009916104 1054295726 1388634643 1533521056 2019832208 2108591452 2777269286 4039664416 4217182904 5554538572 8434365808 11109077144 16868731616 22218154288 32443554841 44436308576 64887109682 129774219364 259548438728 356879103251 519096877456 713758206502 1038193754912 1427516413004 2855032826008 5710065652016 11420131304032