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114553694016 = 263423960763
BaseRepresentation
bin110101010101111101…
…1101010011101000000
3101221200102222121020000
41222223323222131000
53334101221202031
6124343015120000
711163514222206
oct1525373523500
9357612877200
10114553694016
11446446348a3
121a24b973000
13aa57a532c8
145789ca9076
152ea6c903e6
hex1aabeea740

114553694016 has 140 divisors (see below), whose sum is σ = 354337449312. Its totient is φ = 36524328192.

The previous prime is 114553693937. The next prime is 114553694063. The reversal of 114553694016 is 610496355411.

114553694016 is a `hidden beast` number, since 1 + 1 + 4 + 553 + 6 + 94 + 0 + 1 + 6 = 666.

It is a super-2 number, since 2×1145536940162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 361150 + ... + 599613.

Almost surely, 2114553694016 is an apocalyptic number.

114553694016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114553694016 is an abundant number, since it is smaller than the sum of its proper divisors (239783755296).

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

114553694016 is an equidigital number, since it uses as much as digits as its factorization.

114553694016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960810 (or 960791 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 114553694016 in words is "one hundred fourteen billion, five hundred fifty-three million, six hundred ninety-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 138 144 162 184 192 207 216 276 288 324 368 414 432 552 576 621 648 736 828 864 1104 1242 1296 1472 1656 1728 1863 2208 2484 2592 3312 3726 4416 4968 5184 6624 7452 9936 13248 14904 19872 29808 39744 59616 119232 960763 1921526 2882289 3843052 5764578 7686104 8646867 11529156 15372208 17293734 22097549 23058312 25940601 30744416 34587468 44195098 46116624 51881202 61488832 66292647 69174936 77821803 88390196 92233248 103762404 132585294 138349872 155643606 176780392 184466496 198877941 207524808 265170588 276699744 311287212 353560784 397755882 415049616 530341176 553399488 596633823 622574424 707121568 795511764 830099232 1060682352 1193267646 1245148848 1414243136 1591023528 1660198464 1789901469 2121364704 2386535292 2490297696 3182047056 3579802938 4242729408 4773070584 4980595392 6364094112 7159605876 9546141168 12728188224 14319211752 19092282336 28638423504 38184564672 57276847008 114553694016