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24023140434 = 2333149928759
BaseRepresentation
bin10110010111111001…
…000000100001010010
32022000012202222102000
4112113321000201102
5343144410443214
615011443134430
71510213216206
oct262771004122
968005688360
1024023140434
11a208488a77
1247a5374416
13235b03bcc7
14123c740b06
15959062809
hex597e40852

24023140434 has 64 divisors (see below), whose sum is σ = 55219200000. Its totient is φ = 7733601360.

The previous prime is 24023140433. The next prime is 24023140459. The reversal of 24023140434 is 43404132042.

It is a happy number.

24023140434 is a `hidden beast` number, since 24 + 0 + 231 + 404 + 3 + 4 = 666.

It is a super-2 number, since 2×240231404342 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 24023140398 and 24023140407.

It is not an unprimeable number, because it can be changed into a prime (24023140433) 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, 820947 + ... + 849705.

It is an arithmetic number, because the mean of its divisors is an integer number (862800000).

Almost surely, 224023140434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24023140434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27609600000).

24023140434 is an abundant number, since it is smaller than the sum of its proper divisors (31196059566).

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

24023140434 is a wasteful number, since it uses less digits than its factorization.

24023140434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29300 (or 29294 counting only the distinct ones).

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

Adding to 24023140434 its reverse (43404132042), we get a palindrome (67427272476).

The spelling of 24023140434 in words is "twenty-four billion, twenty-three million, one hundred forty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 499 558 837 998 1497 1674 2994 4491 8982 13473 15469 26946 28759 30938 46407 57518 86277 92814 139221 172554 258831 278442 417663 517662 776493 835326 891529 1552986 1783058 2674587 5349174 8023761 14350741 16047522 24071283 28701482 43052223 48142566 86104446 129156669 258313338 387470007 444872971 774940014 889745942 1334618913 2669237826 4003856739 8007713478 12011570217 24023140434