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21142042040 = 2357711063483
BaseRepresentation
bin10011101100001010…
…011111010110111000
32000120102111000102002
4103230022133112320
5321244330321130
613413523200132
71345630251350
oct235412372670
960512430362
1021142042040
118a6a14a119
124120516048
131cbc188762
141047c49b60
1583b158b45
hex4ec29f5b8

21142042040 has 64 divisors (see below), whose sum is σ = 55131010560. Its totient is φ = 7146599040.

The previous prime is 21142042039. The next prime is 21142042073. The reversal of 21142042040 is 4024024112.

It is a super-2 number, since 2×211420420402 (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 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 15 ways as a sum of consecutive naturals, for example, 511862 + ... + 551621.

It is an arithmetic number, because the mean of its divisors is an integer number (861422040).

Almost surely, 221142042040 is an apocalyptic number.

21142042040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21142042040 is an abundant number, since it is smaller than the sum of its proper divisors (33988968520).

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

21142042040 is a wasteful number, since it uses less digits than its factorization.

21142042040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063572 (or 1063568 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 21142042040 its reverse (4024024112), we get a palindrome (25166066152).

The spelling of 21142042040 in words is "twenty-one billion, one hundred forty-two million, forty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 71 140 142 280 284 355 497 568 710 994 1420 1988 2485 2840 3976 4970 9940 19880 1063483 2126966 4253932 5317415 7444381 8507864 10634830 14888762 21269660 29777524 37221905 42539320 59555048 74443810 75507293 148887620 151014586 297775240 302029172 377536465 528551051 604058344 755072930 1057102102 1510145860 2114204204 2642755255 3020291720 4228408408 5285510510 10571021020 21142042040