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11311414032 = 24317131105817
BaseRepresentation
bin10101000100011011…
…00111101100010000
31002012022102100222110
422202031213230100
5141131210222112
65110230505320
7550210301322
oct124215475420
932168370873
1011311414032
114884aa8866
122238205240
1310b35c07c9
147943b5612
154630a513c
hex2a2367b10

11311414032 has 80 divisors (see below), whose sum is σ = 31176522432. Its totient is φ = 3521556480.

The previous prime is 11311413989. The next prime is 11311414171. The reversal of 11311414032 is 23041411311.

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, 53988 + ... + 159804.

Almost surely, 211311414032 is an apocalyptic number.

11311414032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11311414032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15588261216).

11311414032 is an abundant number, since it is smaller than the sum of its proper divisors (19865108400).

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

11311414032 is a wasteful number, since it uses less digits than its factorization.

11311414032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105976 (or 105970 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 11311414032 its reverse (23041411311), we get a palindrome (34352825343).

The spelling of 11311414032 in words is "eleven billion, three hundred eleven million, four hundred fourteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 131 136 204 262 272 393 408 524 786 816 1048 1572 2096 2227 3144 4454 6288 6681 8908 13362 17816 26724 35632 53448 105817 106896 211634 317451 423268 634902 846536 1269804 1693072 1798889 2539608 3597778 5079216 5396667 7195556 10793334 13862027 14391112 21586668 27724054 28782224 41586081 43173336 55448108 83172162 86346672 110896216 166344324 221792432 235654459 332688648 471308918 665377296 706963377 942617836 1413926754 1885235672 2827853508 3770471344 5655707016 11311414032