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114471361335312 = 243488326667697
BaseRepresentation
bin11010000001110001110000…
…110101000101000000010000
3120000022100120222202021220000
4122001301300311011000100
5110000444322000212222
61043243230055050000
733053166022002162
oct3201616065050020
9500270528667800
10114471361335312
1133524039236633
1210a09397370900
134bb47abbb4507
14203a62cb84932
15d379e1e809ac
hex681c70d45010

114471361335312 has 50 divisors (see below), whose sum is σ = 331313330535198. Its totient is φ = 38157120444672.

The previous prime is 114471361335307. The next prime is 114471361335319. The reversal of 114471361335312 is 213533163174411.

114471361335312 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 7 + 13 + 613 + 3 + 5 + 3 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 84937310228736 + 29534051106576 = 9216144^2 + 5434524^2 .

It is a super-2 number, since 2×1144713613353122 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114471361335319) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 44163332553 + ... + 44163335144.

Almost surely, 2114471361335312 is an apocalyptic number.

114471361335312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114471361335312 is an abundant number, since it is smaller than the sum of its proper divisors (216841969199886).

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

114471361335312 is an equidigital number, since it uses as much as digits as its factorization.

114471361335312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88326667717 (or 88326667702 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 114471361335312 in words is "one hundred fourteen trillion, four hundred seventy-one billion, three hundred sixty-one million, three hundred thirty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 88326667697 176653335394 264980003091 353306670788 529960006182 706613341576 794940009273 1059920012364 1413226683152 1589880018546 2119840024728 2384820027819 3179760037092 4239680049456 4769640055638 6359520074184 7154460083457 9539280111276 12719040148368 14308920166914 19078560222552 28617840333828 38157120445104 57235680667656 114471361335312