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114399954375744 = 2633177537249383
BaseRepresentation
bin11010000000101111010000…
…101001001001010001000000
3120000001112021111221220022210
4122000233100221021101000
5104443312101310010434
61043150340304102120
733045060341602452
oct3200572051112100
9500045244856283
10114399954375744
11334a6825931a64
12109b7589304940
134baab3c12270b
142036db73682d2
15d35c130a2ee9
hex680bd0a49440

114399954375744 has 112 divisors (see below), whose sum is σ = 303679553298048. Its totient is φ = 38007827816448.

The previous prime is 114399954375731. The next prime is 114399954375767. The reversal of 114399954375744 is 447573459993411.

114399954375744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1143999543757442 (a number of 29 digits) contains 22 as substring.

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, 458607277 + ... + 458856659.

Almost surely, 2114399954375744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114399954375744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151839776649024).

114399954375744 is an abundant number, since it is smaller than the sum of its proper divisors (189279598922304).

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

114399954375744 is a wasteful number, since it uses less digits than its factorization.

114399954375744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257252 (or 257242 counting only the distinct ones).

The product of its digits is 2057529600, while the sum is 75.

The spelling of 114399954375744 in words is "one hundred fourteen trillion, three hundred ninety-nine billion, nine hundred fifty-four million, three hundred seventy-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 317 634 951 1268 1902 2536 3804 5072 7537 7608 10144 15074 15216 20288 22611 30148 30432 45222 60296 60864 90444 120592 180888 241184 249383 361776 482368 498766 723552 748149 997532 1447104 1496298 1995064 2389229 2992596 3990128 4778458 5985192 7167687 7980256 9556916 11970384 14335374 15960512 19113832 23940768 28670748 38227664 47881536 57341496 76455328 79054411 114682992 152910656 158108822 229365984 237163233 316217644 458731968 474326466 632435288 948652932 1264870576 1879599671 1897305864 2529741152 3759199342 3794611728 5059482304 5638799013 7518398684 7589223456 11277598026 15036797368 15178446912 22555196052 30073594736 45110392104 60147189472 90220784208 120294378944 180441568416 360883136832 595833095707 1191666191414 1787499287121 2383332382828 3574998574242 4766664765656 7149997148484 9533329531312 14299994296968 19066659062624 28599988593936 38133318125248 57199977187872 114399954375744