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34031503044 = 223271116197583
BaseRepresentation
bin11111101100011011…
…111000011011000100
310020211201021110212200
4133230123320123010
51024144031044134
623344525114500
72313222001020
oct375433703304
9106751243780
1034031503044
1113483994a30
1267190b8a30
133294696966
14190ba3d380
15d42a23499
hex7ec6f86c4

34031503044 has 144 divisors (see below), whose sum is σ = 107331194880. Its totient is φ = 8832726720.

The previous prime is 34031503013. The next prime is 34031503067. The reversal of 34031503044 is 44030513043.

34031503044 is a `hidden beast` number, since 3 + 40 + 315 + 0 + 304 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34031502999 and 34031503017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4484077 + ... + 4491659.

It is an arithmetic number, because the mean of its divisors is an integer number (745355520).

Almost surely, 234031503044 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 34031503044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53665597440).

34031503044 is an abundant number, since it is smaller than the sum of its proper divisors (73299691836).

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

34031503044 is a wasteful number, since it uses less digits than its factorization.

34031503044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9230 (or 9225 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Subtracting 34031503044 from its reverse (44030513043), we obtain a palindrome (9999009999).

The spelling of 34031503044 in words is "thirty-four billion, thirty-one million, five hundred three thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 1619 2772 3238 4857 6476 7583 9714 11333 14571 15166 17809 19428 22666 22749 29142 30332 33999 35618 45332 45498 53081 53427 58284 67998 68247 71236 83413 90996 101997 106162 106854 124663 135996 136494 159243 160281 166826 203994 212324 213708 249326 250239 272988 318486 320562 333652 373989 407988 477729 498652 500478 583891 636972 641124 747978 750717 955458 1000956 1121967 1167782 1495956 1501434 1751673 1910916 2243934 2335564 3002868 3503346 4487868 5255019 7006692 10510038 12276877 21020076 24553754 36830631 49107508 73661262 85938139 110491893 135045647 147322524 171876278 220983786 257814417 270091294 343752556 405136941 441967572 515628834 540182588 773443251 810273882 945319529 1031257668 1215410823 1546886502 1620547764 1890639058 2430821646 2835958587 3093773004 3781278116 4861643292 5671917174 8507875761 11343834348 17015751522 34031503044