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34135453144 = 23131738535011
BaseRepresentation
bin11111110010101000…
…011010110111011000
310021002221212200121101
4133302220122313120
51024402134000034
623403121121144
72315623364362
oct376250326730
9107087780541
1034135453144
1113527634201
126747a891b4
1332b00913b0
14191b77bd32
15d4bc08514
hex7f2a1add8

34135453144 has 64 divisors (see below), whose sum is σ = 73015417440. Its totient is φ = 14821263360.

The previous prime is 34135453133. The next prime is 34135453211. The reversal of 34135453144 is 44135453143.

It is a super-2 number, since 2×341354531442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 6809599 + ... + 6814609.

Almost surely, 234135453144 is an apocalyptic number.

34135453144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34135453144 is an abundant number, since it is smaller than the sum of its proper divisors (38879964296).

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

34135453144 is a wasteful number, since it uses less digits than its factorization.

34135453144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8900 (or 8896 counting only the distinct ones).

The product of its digits is 172800, while the sum is 37.

Subtracting 34135453144 from its reverse (44135453143), we obtain a palindrome (9999999999).

The spelling of 34135453144 in words is "thirty-four billion, one hundred thirty-five million, four hundred fifty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1768 3853 5011 7706 10022 15412 20044 30824 40088 50089 65143 65501 85187 100178 130286 131002 170374 200356 260572 262004 340748 400712 521144 524008 681496 851513 1107431 1703026 2214862 3406052 4429724 6812104 8859448 19307383 38614766 77229532 154459064 250995979 328225511 501991958 656451022 1003983916 1312902044 2007967832 2625804088 4266931643 8533863286 17067726572 34135453144