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114333031296 = 2732119022493
BaseRepresentation
bin110101001111011000…
…1111001101110000000
3101221010001202202212200
41222132301321232000
53333123224000141
6124305053353200
711155164505521
oct1523661715600
9357101682780
10114333031296
1144541019710
121a1a9a98800
13aa21113053
145768868848
152e92703ab6
hex1a9ec79b80

114333031296 has 96 divisors (see below), whose sum is σ = 358914811320. Its totient is φ = 34646369280.

The previous prime is 114333031273. The next prime is 114333031301. The reversal of 114333031296 is 692130333411.

It is a happy number.

114333031296 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 330 + 31 + 296 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 114333031296.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4498575 + ... + 4523918.

Almost surely, 2114333031296 is an apocalyptic number.

114333031296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114333031296 is an abundant number, since it is smaller than the sum of its proper divisors (244581780024).

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

114333031296 is a wasteful number, since it uses less digits than its factorization.

114333031296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9022524 (or 9022509 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 114333031296 in words is "one hundred fourteen billion, three hundred thirty-three million, thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 6336 12672 9022493 18044986 27067479 36089972 54134958 72179944 81202437 99247423 108269916 144359888 162404874 198494846 216539832 288719776 297742269 324809748 396989692 433079664 577439552 595484538 649619496 793979384 866159328 893226807 1154879104 1190969076 1299238992 1587958768 1732318656 1786453614 2381938152 2598477984 3175917536 3464637312 3572907228 4763876304 5196955968 6351835072 7145814456 9527752608 10393911936 12703670144 14291628912 19055505216 28583257824 38111010432 57166515648 114333031296