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40242411424204 = 221117200903267791
BaseRepresentation
bin10010010011001101010101…
…01000110100100111001100
312021111010200211210021102221
421021212222220310213030
520233312424311033304
6221331035242225124
711322263320125553
oct1111465250644714
9167433624707387
1040242411424204
1111905790149a80
12461b2ba1b51a4
13195bac6424a02
149d1a5911cd9a
1549bbe6709054
hex2499aaa349cc

40242411424204 has 48 divisors (see below), whose sum is σ = 81346331759616. Its totient is φ = 17215854905600.

The previous prime is 40242411424181. The next prime is 40242411424223.

40242411424204 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×402424114242042 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 40242411424204.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150141549 + ... + 150409339.

It is an arithmetic number, because the mean of its divisors is an integer number (1694715244992).

Almost surely, 240242411424204 is an apocalyptic number.

40242411424204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40242411424204 is an abundant number, since it is smaller than the sum of its proper divisors (41103920335412).

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

40242411424204 is a wasteful number, since it uses less digits than its factorization.

40242411424204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468726 (or 468724 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 34.

It can be divided in two parts, 4024241 and 1424204, that added together give a palindrome (5448445).

The spelling of 40242411424204 in words is "forty trillion, two hundred forty-two billion, four hundred eleven million, four hundred twenty-four thousand, two hundred four".

Divisors: 1 2 4 11 17 22 34 44 68 187 374 748 200903 267791 401806 535582 803612 1071164 2209933 2945701 3415351 4419866 4552447 5891402 6830702 8839732 9104894 11782804 13661404 18209788 37568861 50076917 75137722 100153834 150275444 200307668 53800015273 107600030546 215200061092 591800168003 914600259641 1183600336006 1829200519282 2367200672012 3658401038564 10060602856051 20121205712102 40242411424204