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3402244040013 = 337213223887069
BaseRepresentation
bin110001100000100101100…
…011000010010101001101
3110001020210020101200122000
4301200211203002111031
5421220243433240023
611122545213142513
7500542531116600
oct61404543022515
913036706350560
103402244040013
1110a197a0785a5
1246b46478aa39
131b8aa404c270
14ba95311c337
155d778158243
hex318258c254d

3402244040013 has 96 divisors (see below), whose sum is σ = 6342621465600. Its totient is φ = 1786540758912.

The previous prime is 3402244040009. The next prime is 3402244040021. The reversal of 3402244040013 is 3100404422043.

It is a happy number.

3402244040013 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 244 + 0 + 400 + 13 = 666.

It is not a de Polignac number, because 3402244040013 - 22 = 3402244040009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402244040003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3391843 + ... + 4278911.

It is an arithmetic number, because the mean of its divisors is an integer number (66068973600).

Almost surely, 23402244040013 is an apocalyptic number.

It is an amenable number.

3402244040013 is a deficient number, since it is larger than the sum of its proper divisors (2940377425587).

3402244040013 is a wasteful number, since it uses less digits than its factorization.

3402244040013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887328 (or 887315 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 3402244040013 its reverse (3100404422043), we get a palindrome (6502648462056).

The spelling of 3402244040013 in words is "three trillion, four hundred two billion, two hundred forty-four million, forty thousand, thirteen".

Divisors: 1 3 7 9 13 21 27 39 49 63 91 117 147 189 223 273 351 441 637 669 819 1323 1561 1911 2007 2457 2899 4683 5733 6021 8697 10927 14049 17199 20293 26091 32781 42147 60879 78273 98343 142051 182637 295029 426153 547911 887069 1278459 2661207 3835377 6209483 7983621 11531897 18628449 23950863 34595691 43466381 55885347 80723279 103787073 130399143 167656041 197816387 242169837 311361219 391197429 565062953 593449161 726509511 1173592287 1384714709 1695188859 1780347483 2179528533 2571613031 4154144127 5085566577 5341042449 7714839093 9693002963 12462432381 15256699731 18001291217 23144517279 29079008889 37387297143 54003873651 69433551837 87237026667 126009038519 162011620953 261711080001 378027115557 486034862859 1134081346671 3402244040013