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114004677145452 = 2236110311931267459
BaseRepresentation
bin11001111010111111001000…
…010010001011001101101100
3112221122201222222010002102120
4121322333020102023031230
5104420323034322123302
61042245005313152540
733004365114562362
oct3172771022131554
9487581888102376
10114004677145452
1133364126175425
1210952a5385b750
134b7c797088182
142021bda4dd632
15d2a7cb0ed9bc
hex67afc848b36c

114004677145452 has 96 divisors (see below), whose sum is σ = 273225764098560. Its totient is φ = 36984627233280.

The previous prime is 114004677145451. The next prime is 114004677145481. The reversal of 114004677145452 is 254541776400411.

It is a super-2 number, since 2×1140046771454522 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114004677145395 and 114004677145404.

It is not an unprimeable number, because it can be changed into a prime (114004677145451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89313699 + ... + 90581157.

It is an arithmetic number, because the mean of its divisors is an integer number (2846101709360).

Almost surely, 2114004677145452 is an apocalyptic number.

114004677145452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114004677145452 is an abundant number, since it is smaller than the sum of its proper divisors (159221086953108).

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

114004677145452 is a wasteful number, since it uses less digits than its factorization.

114004677145452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268823 (or 1268821 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 51.

The spelling of 114004677145452 in words is "one hundred fourteen trillion, four billion, six hundred seventy-seven million, one hundred forty-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 61 103 122 183 206 244 309 366 412 618 732 1193 1236 2386 3579 4772 6283 7158 12566 14316 18849 25132 37698 72773 75396 122879 145546 218319 245758 291092 368637 436638 491516 737274 873276 1267459 1474548 2534918 3802377 5069836 7495619 7604754 14991238 15209508 22486857 29982476 44973714 77314999 89947428 130548277 154629998 231944997 261096554 309259996 391644831 463889994 522193108 783289662 927779988 1512078587 1566579324 3024157174 4536235761 6048314348 7963444897 9072471522 15926889794 18144943044 23890334691 31853779588 47780669382 92236793807 95561338764 155744094461 184473587614 276710381421 311488188922 368947175228 467232283383 553420762842 622976377844 934464566766 1106841525684 1868929133532 9500389762121 19000779524242 28501169286363 38001559048484 57002338572726 114004677145452