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22413424420440 = 23325293212489803
BaseRepresentation
bin1010001100010100010000…
…01100110110011001011000
32221100200222002021221110200
411012022020030312121120
510414210143122423230
6115400330211142200
74502213360066664
oct506121014663130
987320862257420
1022413424420440
11716153084aa69
12261ba565a4960
13c67766469b91
14576b5bb598a4
1528d058098160
hex146288336658

22413424420440 has 96 divisors (see below), whose sum is σ = 73092242779920. Its totient is φ = 5956514129664.

The previous prime is 22413424420417. The next prime is 22413424420463. The reversal of 22413424420440 is 4402442431422.

22413424420440 is a `hidden beast` number, since 2 + 24 + 1 + 3 + 424 + 4 + 204 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22413424420417) and next prime (22413424420463).

It is a super-2 number, since 2×224134244204402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22413424420395 and 22413424420404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106139422 + ... + 106350381.

Almost surely, 222413424420440 is an apocalyptic number.

22413424420440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22413424420440 is an abundant number, since it is smaller than the sum of its proper divisors (50678818359480).

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

22413424420440 is a wasteful number, since it uses less digits than its factorization.

22413424420440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212490113 (or 212490106 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 22413424420440 its reverse (4402442431422), we get a palindrome (26815866851862).

The spelling of 22413424420440 in words is "twenty-two trillion, four hundred thirteen billion, four hundred twenty-four million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 293 360 586 879 1172 1465 1758 2344 2637 2930 3516 4395 5274 5860 7032 8790 10548 11720 13185 17580 21096 26370 35160 52740 105480 212489803 424979606 637469409 849959212 1062449015 1274938818 1699918424 1912408227 2124898030 2549877636 3187347045 3824816454 4249796060 5099755272 6374694090 7649632908 8499592120 9562041135 12749388180 15299265816 19124082270 25498776360 38248164540 62259512279 76496329080 124519024558 186778536837 249038049116 311297561395 373557073674 498076098232 560335610511 622595122790 747114147348 933892684185 1120671221022 1245190245580 1494228294696 1867785368370 2241342442044 2490380491160 2801678052555 3735570736740 4482684884088 5603356105110 7471141473480 11206712210220 22413424420440