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4061024136 = 2332131272269
BaseRepresentation
bin1111001000001110…
…0100111110001000
3101111000112101211100
43302003210332020
531304110233021
61510545501400
7202431064341
oct36203447610
911430471740
104061024136
1117a43845a4
12954041860
134c9469880
142a74bb0c8
1518b7cb626
hexf20e4f88

4061024136 has 144 divisors (see below), whose sum is σ = 11983034700. Its totient is φ = 1235098368.

The previous prime is 4061024131. The next prime is 4061024137. The reversal of 4061024136 is 6314201604.

4061024136 is a `hidden beast` number, since 4 + 0 + 610 + 2 + 41 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3266122500 + 794901636 = 57150^2 + 28194^2 .

It is a super-3 number, since 3×40610241363 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4061024131) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15096610 + ... + 15096878.

Almost surely, 24061024136 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 4061024136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5991517350).

4061024136 is an abundant number, since it is smaller than the sum of its proper divisors (7922010564).

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

4061024136 is a wasteful number, since it uses less digits than its factorization.

4061024136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4061024136 is about 63726.1652384639. The cubic root of 4061024136 is about 1595.4328265253.

It can be divided in two parts, 40610 and 24136, that added together give a palindrome (64746).

The spelling of 4061024136 in words is "four billion, sixty-one million, twenty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 127 156 234 254 269 312 381 468 508 538 762 807 936 1016 1076 1143 1524 1614 1651 2152 2286 2421 3048 3228 3302 3497 4572 4842 4953 6456 6604 6994 9144 9684 9906 10491 13208 13988 14859 16129 19368 19812 20982 27976 29718 31473 32258 34163 39624 41964 48387 59436 62946 64516 68326 83928 96774 102489 118872 125892 129032 136652 145161 193548 204978 209677 251784 273304 290322 307467 387096 409956 419354 444119 580644 614934 629031 819912 838708 888238 1161288 1229868 1258062 1332357 1677416 1776476 1887093 2459736 2516124 2664714 3552952 3774186 3997071 4338701 5032248 5329428 7548372 7994142 8677402 10658856 13016103 15096744 15988284 17354804 26032206 31976568 34709608 39048309 52064412 56403113 78096618 104128824 112806226 156193236 169209339 225612452 312386472 338418678 451224904 507628017 676837356 1015256034 1353674712 2030512068 4061024136