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136441044 = 22333183491
BaseRepresentation
bin10000010000111…
…10110011010100
3100111201220221000
420020132303110
5234412103134
621312223300
73244505205
oct1010366324
9314656830
10136441044
11700211a3
123983ab30
132236245c
14141995ac
15bea1e99
hex821ecd4

136441044 has 96 divisors (see below), whose sum is σ = 370298880. Its totient is φ = 43394400.

The previous prime is 136441009. The next prime is 136441051. The reversal of 136441044 is 440144631.

136441044 is a `hidden beast` number, since 1 + 3 + 644 + 10 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 136440999 and 136441017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277639 + ... + 278129.

It is an arithmetic number, because the mean of its divisors is an integer number (3857280).

Almost surely, 2136441044 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 136441044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185149440).

136441044 is an abundant number, since it is smaller than the sum of its proper divisors (233857836).

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

136441044 is a wasteful number, since it uses less digits than its factorization.

136441044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 136441044 is about 11680.7980891718. The cubic root of 136441044 is about 514.8116243212.

Adding to 136441044 its reverse (440144631), we get a palindrome (576585675).

The spelling of 136441044 in words is "one hundred thirty-six million, four hundred forty-one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 83 93 108 124 166 186 249 279 332 372 491 498 558 747 837 982 996 1116 1473 1494 1674 1964 2241 2573 2946 2988 3348 4419 4482 5146 5892 7719 8838 8964 10292 13257 15221 15438 17676 23157 26514 30442 30876 40753 45663 46314 53028 60884 69471 81506 91326 92628 122259 136989 138942 163012 182652 244518 273978 277884 366777 410967 489036 547956 733554 821934 1100331 1263343 1467108 1643868 2200662 2526686 3790029 4401324 5053372 7580058 11370087 15160116 22740174 34110261 45480348 68220522 136441044