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7114053312 = 263311336433
BaseRepresentation
bin1101010000000011…
…11101011011000000
3200100210100100112000
412220001331123000
5104032144201222
63133530504000
7341202312132
oct65001753300
920323310460
107114053312
113020774603
121466595000
13894b2a202
144b6b69052
152b98479ac
hex1a807d6c0

7114053312 has 112 divisors (see below), whose sum is σ = 21099658080. Its totient is φ = 2350301184.

The previous prime is 7114053299. The next prime is 7114053329. The reversal of 7114053312 is 2133504117.

7114053312 is a `hidden beast` number, since 7 + 114 + 0 + 533 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 177048 + ... + 213480.

Almost surely, 27114053312 is an apocalyptic number.

7114053312 is a gapful number since it is divisible by the number (72) 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 7114053312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10549829040).

7114053312 is an abundant number, since it is smaller than the sum of its proper divisors (13985604768).

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

7114053312 is a wasteful number, since it uses less digits than its factorization.

7114053312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36567 (or 36551 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 7114053312 is about 84344.8475723325. The cubic root of 7114053312 is about 1923.2646022561.

Adding to 7114053312 its reverse (2133504117), we get a palindrome (9247557429).

The spelling of 7114053312 in words is "seven billion, one hundred fourteen million, fifty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 113 144 192 216 226 288 339 432 452 576 678 864 904 1017 1356 1728 1808 2034 2712 3051 3616 4068 5424 6102 7232 8136 10848 12204 16272 21696 24408 32544 36433 48816 65088 72866 97632 109299 145732 195264 218598 291464 327897 437196 582928 655794 874392 983691 1165856 1311588 1748784 1967382 2331712 2623176 3497568 3934764 4116929 5246352 6995136 7869528 8233858 10492704 12350787 15739056 16467716 20985408 24701574 31478112 32935432 37052361 49403148 62956224 65870864 74104722 98806296 111157083 131741728 148209444 197612592 222314166 263483456 296418888 395225184 444628332 592837776 790450368 889256664 1185675552 1778513328 2371351104 3557026656 7114053312