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40013022400323 = 371732316861937
BaseRepresentation
bin10010001100100010000011…
…11111001000111101000011
312020200012121022212111020120
421012101001333020331003
520221033132213302243
6221033421223311323
711266562665445310
oct1106210177107503
9166605538774216
1040013022400323
111182747800a195
1245a29602ab543
13194329a4b029b
149c48d7bd5d07
15495c6d0e5c83
hex246441fc8f43

40013022400323 has 64 divisors (see below), whose sum is σ = 67598834964480. Its totient is φ = 20583972304896.

The previous prime is 40013022400321. The next prime is 40013022400333. The reversal of 40013022400323 is 32300422031004.

It is not a de Polignac number, because 40013022400323 - 21 = 40013022400321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40013022400293 and 40013022400302.

It is not an unprimeable number, because it can be changed into a prime (40013022400321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6057990 + ... + 10803947.

It is an arithmetic number, because the mean of its divisors is an integer number (1056231796320).

Almost surely, 240013022400323 is an apocalyptic number.

40013022400323 is a deficient number, since it is larger than the sum of its proper divisors (27585812564157).

40013022400323 is a wasteful number, since it uses less digits than its factorization.

40013022400323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16862021 (or 16861987 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 40013022400323 its reverse (32300422031004), we get a palindrome (72313444431327).

The spelling of 40013022400323 in words is "forty trillion, thirteen billion, twenty-two million, four hundred thousand, three hundred twenty-three".

Divisors: 1 3 7 17 21 23 51 69 119 161 289 357 391 483 867 1173 2023 2737 4913 6069 6647 8211 14739 19941 34391 46529 103173 112999 139587 338997 790993 2372979 16861937 50585811 118033559 286652929 354100677 387824551 859958787 1163473653 2006570503 2714771857 4873099793 6019711509 6593017367 8144315571 14619299379 19779052101 34111698551 46151121569 82842696481 102335095653 112081295239 138453364707 248528089443 336243885717 579898875367 784569066673 1739696626101 1905382019063 2353707200019 5716146057189 13337674133441 40013022400323