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21142414104 = 2337971297399
BaseRepresentation
bin10011101100001011…
…111010001100011000
32000120110011220210020
4103230023322030120
5321244424222404
613413535150440
71345633361160
oct235413721430
960513156706
1021142414104
118a6a383709
124120675420
131cbc288c06
141047d055a0
1583b1cded9
hex4ec2fa318

21142414104 has 64 divisors (see below), whose sum is σ = 61029696000. Its totient is φ = 5978409984.

The previous prime is 21142414061. The next prime is 21142414159. The reversal of 21142414104 is 40141424112.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 632404 + ... + 664995.

It is an arithmetic number, because the mean of its divisors is an integer number (953589000).

Almost surely, 221142414104 is an apocalyptic number.

21142414104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21142414104 is an abundant number, since it is smaller than the sum of its proper divisors (39887281896).

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

21142414104 is a wasteful number, since it uses less digits than its factorization.

21142414104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297512 (or 1297508 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 21142414104 its reverse (40141424112), we get a palindrome (61283838216).

The spelling of 21142414104 in words is "twenty-one billion, one hundred forty-two million, four hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 97 168 194 291 388 582 679 776 1164 1358 2037 2328 2716 4074 5432 8148 16296 1297399 2594798 3892197 5189596 7784394 9081793 10379192 15568788 18163586 27245379 31137576 36327172 54490758 72654344 108981516 125847703 217963032 251695406 377543109 503390812 755086218 880933921 1006781624 1510172436 1761867842 2642801763 3020344872 3523735684 5285603526 7047471368 10571207052 21142414104