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114240055403331 = 321113238723371831
BaseRepresentation
bin11001111110011010010101…
…111010111110001101000011
3112222111020112212211111010100
4121332122111322332031003
5104433202113140401311
61042545053522133443
733030400033011354
oct3176322572761503
9488436485744110
10114240055403331
1133444a32052380
12109905a34b1283
134b98a38a99240
14202d369031d2b
15d319a541ea56
hex67e695ebe343

114240055403331 has 48 divisors (see below), whose sum is σ = 193863245651712. Its totient is φ = 63910080907200.

The previous prime is 114240055403329. The next prime is 114240055403339. The reversal of 114240055403331 is 133304550042411.

114240055403331 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 40 + 0 + 554 + 0 + 33 + 31 = 666.

It is not a de Polignac number, because 114240055403331 - 21 = 114240055403329 is a prime.

It is a super-2 number, since 2×1142400554033312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114240055403339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307050586 + ... + 307422416.

It is an arithmetic number, because the mean of its divisors is an integer number (4038817617744).

Almost surely, 2114240055403331 is an apocalyptic number.

114240055403331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114240055403331 is a deficient number, since it is larger than the sum of its proper divisors (79623190248381).

114240055403331 is a wasteful number, since it uses less digits than its factorization.

114240055403331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610584 (or 610581 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 114240055403331 in words is "one hundred fourteen trillion, two hundred forty billion, fifty-five million, four hundred three thousand, three hundred thirty-one".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 238723 371831 716169 1115493 2148507 2625953 3103399 3346479 4090141 4833803 7877859 9310197 12270423 14501409 23633577 27930591 34137389 36811269 43504227 53171833 102412167 159515499 307236501 478546497 88764611813 266293835439 798881506317 976410729943 1153939953569 2929232189829 3461819860707 8787696569487 10385459582121 12693339489259 38080018467777 114240055403331