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10024001400 = 2335272386667
BaseRepresentation
bin10010101010111101…
…00001111101111000
3221212120221000212010
421111132201331320
5131012121021100
64334401045520
7503255414610
oct112536417570
927776830763
1010024001400
114284318686
121b390268a0
13c39971c9a
146b140da40
153da04e750
hex2557a1f78

10024001400 has 96 divisors (see below), whose sum is σ = 35513619840. Its totient is φ = 2291199360.

The previous prime is 10024001327. The next prime is 10024001419. The reversal of 10024001400 is 410042001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1189134 + ... + 1197533.

It is an arithmetic number, because the mean of its divisors is an integer number (369933540).

Almost surely, 210024001400 is an apocalyptic number.

10024001400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10024001400 is an abundant number, since it is smaller than the sum of its proper divisors (25489618440).

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

10024001400 is a wasteful number, since it uses less digits than its factorization.

10024001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386693 (or 2386684 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10024001400 its reverse (410042001), we get a palindrome (10434043401).

The spelling of 10024001400 in words is "ten billion, twenty-four million, one thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 2386667 4773334 7160001 9546668 11933335 14320002 16706669 19093336 23866670 28640004 33413338 35800005 47733340 50120007 57280008 59666675 66826676 71600010 83533345 95466680 100240014 119333350 133653352 143200020 167066690 179000025 200480028 238666700 250600035 286400040 334133380 358000050 400960056 417666725 477333400 501200070 668266760 716000100 835333450 1002400140 1253000175 1432000200 1670666900 2004800280 2506000350 3341333800 5012000700 10024001400