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23240413201024 = 2717293311112651
BaseRepresentation
bin1010100100011000101001…
…00100101100001010000000
310001021202120100120210100101
411102030110210230022000
511021232331234413044
6121232255354532144
74616031050536345
oct522142444541200
9101252510523311
1023240413201024
117450227414aa8
122734193437054
13cc773b9994b6
145a4bb06427cc
152a480a955cd4
hex15231492c280

23240413201024 has 128 divisors (see below), whose sum is σ = 50866443892800. Its totient is φ = 10527627264000.

The previous prime is 23240413201003. The next prime is 23240413201039. The reversal of 23240413201024 is 42010231404232.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 23240413200983 and 23240413201001.

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, 20331099 + ... + 21443749.

Almost surely, 223240413201024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23240413201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25433221946400).

23240413201024 is an abundant number, since it is smaller than the sum of its proper divisors (27626030691776).

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

23240413201024 is a wasteful number, since it uses less digits than its factorization.

23240413201024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113042 (or 1113030 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 23240413201024 its reverse (42010231404232), we get a palindrome (65250644605256).

The spelling of 23240413201024 in words is "twenty-three trillion, two hundred forty billion, four hundred thirteen million, two hundred one thousand, twenty-four".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 128 136 232 272 331 464 493 544 662 928 986 1088 1324 1856 1972 2176 2648 3712 3944 5296 5627 7888 9599 10592 11254 15776 19198 21184 22508 31552 38396 42368 45016 63104 76792 90032 153584 163183 180064 307168 326366 360128 614336 652732 720256 1112651 1228672 1305464 2225302 2610928 4450604 5221856 8901208 10443712 17802416 18915067 20887424 32266879 35604832 37830134 64533758 71209664 75660268 129067516 142419328 151320536 258135032 302641072 368287481 516270064 548536943 605282144 736574962 1032540128 1097073886 1210564288 1473149924 2065080256 2194147772 2421128576 2946299848 4130160512 4388295544 5892599696 6260887177 8776591088 10680336949 11785199392 12521774354 17553182176 21360673898 23570398784 25043548708 35106364352 42721347796 47140797568 50087097416 70212728704 85442695592 100174194832 170885391184 181565728133 200348389664 341770782368 363131456266 400696779328 683541564736 726262912532 801393558656 1367083129472 1452525825064 2905051650128 5810103300256 11620206600512 23240413201024