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45141133535344 = 24711152324058129
BaseRepresentation
bin10100100001110001111010…
…01110101010100001110000
312220211110011012200120122101
422100320331032222201300
521404043020141112334
6240001314522150144
712336224241053020
oct1220707516524160
9186743135616571
1045141133535344
111342427a065640
1250907a2352354
131c25a38013892
14b20bb1c3ba80
1553435791c214
hex290e3d3aa870

45141133535344 has 80 divisors (see below), whose sum is σ = 109113820197120. Its totient is φ = 17575905991680.

The previous prime is 45141133535339. The next prime is 45141133535347. The reversal of 45141133535344 is 44353533114154.

It is a junction number, because it is equal to n+sod(n) for n = 45141133535294 and 45141133535303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45141133535347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10152729 + ... + 13905400.

It is an arithmetic number, because the mean of its divisors is an integer number (1363922752464).

Almost surely, 245141133535344 is an apocalyptic number.

45141133535344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45141133535344 is an abundant number, since it is smaller than the sum of its proper divisors (63972686661776).

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

45141133535344 is a wasteful number, since it uses less digits than its factorization.

45141133535344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24059678 (or 24059672 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 46.

Adding to 45141133535344 its reverse (44353533114154), we get a palindrome (89494666649498).

The spelling of 45141133535344 in words is "forty-five trillion, one hundred forty-one billion, one hundred thirty-three million, five hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 1523 3046 6092 10661 12184 16753 21322 24368 33506 42644 67012 85288 117271 134024 170576 234542 268048 469084 938168 1876336 24058129 48116258 96232516 168406903 192465032 264639419 336813806 384930064 529278838 673627612 1058557676 1347255224 1852475933 2117115352 2694510448 3704951866 4234230704 7409903732 14819807464 29639614928 36640530467 73281060934 146562121868 256483713269 293124243736 403045835137 512967426538 586248487472 806091670274 1025934853076 1612183340548 2051869706152 2821320845959 3224366681096 4103739412304 5642641691918 6448733362192 11285283383836 22570566767672 45141133535344