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34042153712 = 2474123331817
BaseRepresentation
bin11111101101000100…
…100000101011110000
310020212110022120211212
4133231010200223300
51024204242404322
623345545255252
72313411350360
oct375504405360
9106773276755
1034042153712
11134899a9a36
126720794528
133296955728
14190d2129a0
15d439290e2
hex7ed120af0

34042153712 has 80 divisors (see below), whose sum is σ = 77551411392. Its totient is φ = 14172119040.

The previous prime is 34042153687. The next prime is 34042153771. The reversal of 34042153712 is 21735124043.

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, 1054028 + ... + 1085844.

Almost surely, 234042153712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34042153712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38775705696).

34042153712 is an abundant number, since it is smaller than the sum of its proper divisors (43509257680).

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

34042153712 is a wasteful number, since it uses less digits than its factorization.

34042153712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32106 (or 32100 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

Adding to 34042153712 its reverse (21735124043), we get a palindrome (55777277755).

The spelling of 34042153712 in words is "thirty-four billion, forty-two million, one hundred fifty-three thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 233 287 328 466 574 656 932 1148 1631 1864 2296 3262 3728 4592 6524 9553 13048 19106 26096 31817 38212 63634 66871 76424 127268 133742 152848 222719 254536 267484 445438 509072 534968 890876 1069936 1304497 1781752 2608994 3563504 5217988 7413361 9131479 10435976 14826722 18262958 20871952 29653444 36525916 51893527 59306888 73051832 103787054 118613776 146103664 207574108 303947801 415148216 607895602 830296432 1215791204 2127634607 2431582408 4255269214 4863164816 8510538428 17021076856 34042153712