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24121401024 = 263718679613
BaseRepresentation
bin10110011101101111…
…110101111011000000
32022021001200010121010
4112131233311323000
5343400034313044
615025313200520
71512515345220
oct263557657300
968231603533
1024121401024
11a2589a1676
124812260140
1323754c3b76
14124b7dc080
159629c1bb9
hex59dbf5ec0

24121401024 has 112 divisors (see below), whose sum is σ = 72985180928. Its totient is φ = 6887420928.

The previous prime is 24121400981. The next prime is 24121401043. The reversal of 24121401024 is 42010412142.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 2504442 + ... + 2514054.

Almost surely, 224121401024 is an apocalyptic number.

24121401024 is a gapful number since it is divisible by the number (24) 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 24121401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36492590464).

24121401024 is an abundant number, since it is smaller than the sum of its proper divisors (48863779904).

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

24121401024 is a wasteful number, since it uses less digits than its factorization.

24121401024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11502 (or 11492 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 24121401024 its reverse (42010412142), we get a palindrome (66131813166).

The spelling of 24121401024 in words is "twenty-four billion, one hundred twenty-one million, four hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1867 3734 5601 7468 9613 11202 13069 14936 19226 22404 26138 28839 29872 38452 39207 44808 52276 57678 59744 67291 76904 78414 89616 104552 115356 119488 134582 153808 156828 179232 201873 209104 230712 269164 307616 313656 358464 403746 418208 461424 538328 615232 627312 807492 836416 922848 1076656 1254624 1614984 1845696 2153312 2509248 3229968 4306624 6459936 12919872 17947471 35894942 53842413 71789884 107684826 125632297 143579768 215369652 251264594 287159536 376896891 430739304 502529188 574319072 753793782 861478608 1005058376 1148638144 1507587564 1722957216 2010116752 3015175128 3445914432 4020233504 6030350256 8040467008 12060700512 24121401024