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423426624324 = 2231123928874649
BaseRepresentation
bin1100010100101100011…
…00011000101101000100
31111110221022220012010120
412022112030120231010
523414134203434244
6522304114021540
742406622631204
oct6122614305504
91443838805116
10423426624324
11153635321a50
126a0908778b0
1330c0cc01422
14166cb5c6404
15b0333ca819
hex6296318b44

423426624324 has 96 divisors (see below), whose sum is σ = 1082930688000. Its totient is φ = 127702498560.

The previous prime is 423426624317. The next prime is 423426624329.

423426624324 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (423426624329) 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, 91076752 + ... + 91081400.

It is an arithmetic number, because the mean of its divisors is an integer number (11280528000).

Almost surely, 2423426624324 is an apocalyptic number.

423426624324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423426624324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541465344000).

423426624324 is an abundant number, since it is smaller than the sum of its proper divisors (659504063676).

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

423426624324 is a wasteful number, since it uses less digits than its factorization.

423426624324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7793 (or 7791 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 42.

It can be divided in two parts, 42342 and 6624324, that added together give a palindrome (6666666).

The spelling of 423426624324 in words is "four hundred twenty-three billion, four hundred twenty-six million, six hundred twenty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 239 478 717 956 1434 2629 2868 2887 4649 5258 5774 7887 8661 9298 10516 11548 13947 15774 17322 18596 27894 31548 31757 34644 51139 55788 63514 95271 102278 127028 153417 190542 204556 306834 381084 613668 689993 1111111 1379986 2069979 2222222 2759972 3333333 4139958 4444444 6666666 7589923 8279916 12222221 13333332 13421663 15179846 22769769 24444442 26843326 30359692 36666663 40264989 45539538 48888884 53686652 73333326 80529978 91079076 146666652 147638293 161059956 295276586 442914879 590553172 885829758 1771659516 3207777457 6415554914 9623332371 12831109828 19246664742 35285552027 38493329484 70571104054 105856656081 141142208108 211713312162 423426624324