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34045334023152 = 2433140157057179
BaseRepresentation
bin1111011110110110011000…
…00010100110101111110000
311110112200221212100110002210
413233123030002212233300
513430244321002220102
6200224113250412120
710112460054263124
oct757331402465760
9143480855313083
1034045334023152
11a9365aa550261
12399a269591040
1315cc5cc3c9b4a
14859b35467584
153e08e5ba236c
hex1ef6cc0a6bf0

34045334023152 has 80 divisors (see below), whose sum is σ = 91013961876480. Its totient is φ = 10954978176000.

The previous prime is 34045334023147. The next prime is 34045334023237. The reversal of 34045334023152 is 25132043354043.

It is a super-2 number, since 2×340453340231522 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34045334023152.

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, 27931902 + ... + 29125277.

It is an arithmetic number, because the mean of its divisors is an integer number (1137674523456).

Almost surely, 234045334023152 is an apocalyptic number.

It is an amenable number.

34045334023152 is an abundant number, since it is smaller than the sum of its proper divisors (56968627853328).

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

34045334023152 is a wasteful number, since it uses less digits than its factorization.

34045334023152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57057622 (or 57057616 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 39.

Adding to 34045334023152 its reverse (25132043354043), we get a palindrome (59177377377195).

The spelling of 34045334023152 in words is "thirty-four trillion, forty-five billion, three hundred thirty-four million, twenty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 401 496 744 802 1203 1488 1604 2406 3208 4812 6416 9624 12431 19248 24862 37293 49724 74586 99448 149172 198896 298344 596688 57057179 114114358 171171537 228228716 342343074 456457432 684686148 912914864 1369372296 1768772549 2738744592 3537545098 5306317647 7075090196 10612635294 14150180392 21225270588 22879928779 28300360784 42450541176 45759857558 68639786337 84901082352 91519715116 137279572674 183039430232 274559145348 366078860464 549118290696 709277792149 1098236581392 1418555584298 2127833376447 2837111168596 4255666752894 5674222337192 8511333505788 11348444674384 17022667011576 34045334023152