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21432012140 = 225711101137791
BaseRepresentation
bin10011111101011100…
…101000110101101100
32001022122010000121102
4103331130220311230
5322343043342030
613502402222232
71356051045260
oct237534506554
961278100542
1021432012140
1190a88a2a30
1241a1654978
1320372841b6
14107456c0a0
15856835c45
hex4fd728d6c

21432012140 has 96 divisors (see below), whose sum is σ = 56668889088. Its totient is φ = 6613920000.

The previous prime is 21432012097. The next prime is 21432012157. The reversal of 21432012140 is 4121023412.

It is a super-2 number, since 2×214320121402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86645 + ... + 224435.

It is an arithmetic number, because the mean of its divisors is an integer number (590300928).

Almost surely, 221432012140 is an apocalyptic number.

21432012140 is a gapful number since it is divisible by the number (20) 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 21432012140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28334444544).

21432012140 is an abundant number, since it is smaller than the sum of its proper divisors (35236876948).

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

21432012140 is a wasteful number, since it uses less digits than its factorization.

21432012140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137919 (or 137917 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 21432012140 its reverse (4121023412), we get a palindrome (25553035552).

The spelling of 21432012140 in words is "twenty-one billion, four hundred thirty-two million, twelve thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 101 110 140 154 202 220 308 385 404 505 707 770 1010 1111 1414 1540 2020 2222 2828 3535 4444 5555 7070 7777 11110 14140 15554 22220 31108 38885 77770 137791 155540 275582 551164 688955 964537 1377910 1515701 1929074 2755820 3031402 3858148 4822685 6062804 7578505 9645370 10609907 13916891 15157010 19290740 21219814 27833782 30314020 42439628 53049535 55667564 69584455 97418237 106099070 139168910 153085801 194836474 212198140 278337820 306171602 389672948 487091185 612343204 765429005 974182370 1071600607 1530858010 1948364740 2143201214 3061716020 4286402428 5358003035 10716006070 21432012140