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10024434024 = 2331161622481
BaseRepresentation
bin10010101011000000…
…01011100101101000
3221212121202000022020
421111200023211220
5131012223342044
64334414224440
7503262166113
oct112540134550
927777660266
1010024434024
114284593720
121b391b5120
13c39a93b87
146b14c357a
153da0d7a19
hex25580b968

10024434024 has 64 divisors (see below), whose sum is σ = 27787596480. Its totient is φ = 2987904000.

The previous prime is 10024434023. The next prime is 10024434041. The reversal of 10024434024 is 42043442001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10024433985 and 10024434003.

It is not an unprimeable number, because it can be changed into a prime (10024434023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295137 + ... + 327344.

It is an arithmetic number, because the mean of its divisors is an integer number (434181195).

Almost surely, 210024434024 is an apocalyptic number.

It is an amenable number.

10024434024 is an abundant number, since it is smaller than the sum of its proper divisors (17763162456).

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

10024434024 is a wasteful number, since it uses less digits than its factorization.

10024434024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622562 (or 622558 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10024434024 its reverse (42043442001), we get a palindrome (52067876025).

The spelling of 10024434024 in words is "ten billion, twenty-four million, four hundred thirty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 61 66 88 122 132 183 244 264 366 488 671 732 1342 1464 2013 2684 4026 5368 8052 16104 622481 1244962 1867443 2489924 3734886 4979848 6847291 7469772 13694582 14939544 20541873 27389164 37971341 41083746 54778328 75942682 82167492 113914023 151885364 164334984 227828046 303770728 417684751 455656092 835369502 911312184 1253054253 1670739004 2506108506 3341478008 5012217012 10024434024