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15057741140 = 225132151163181
BaseRepresentation
bin11100000011000001…
…01110010101010100
31102212101210111122022
432001200232111110
5221314240204030
610530055352312
71042100454641
oct160140562524
942771714568
1015057741140
11642777a872
122b02982698
13155c7b4b00
14a2bb74dc8
155d1e1cde5
hex38182e554

15057741140 has 144 divisors (see below), whose sum is σ = 34870582656. Its totient is φ = 5458752000.

The previous prime is 15057741113. The next prime is 15057741151. The reversal of 15057741140 is 4114775051.

It is a self number, because there is not a number n which added to its sum of digits gives 15057741140.

It is a congruent number.

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, 83191850 + ... + 83192030.

It is an arithmetic number, because the mean of its divisors is an integer number (242156824).

Almost surely, 215057741140 is an apocalyptic number.

15057741140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15057741140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17435291328).

15057741140 is an abundant number, since it is smaller than the sum of its proper divisors (19812841516).

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

15057741140 is a wasteful number, since it uses less digits than its factorization.

15057741140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 35.

The spelling of 15057741140 in words is "fifteen billion, fifty-seven million, seven hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 151 163 169 181 260 302 326 338 362 604 652 676 724 755 815 845 905 1510 1630 1690 1810 1963 2119 2353 3020 3260 3380 3620 3926 4238 4706 7852 8476 9412 9815 10595 11765 19630 21190 23530 24613 25519 27331 27547 29503 30589 39260 42380 47060 49226 51038 54662 55094 59006 61178 98452 102076 109324 110188 118012 122356 123065 127595 136655 137735 147515 152945 246130 255190 273310 275470 295030 305890 319969 355303 383539 492260 510380 546620 550940 590060 611780 639938 710606 767078 1279876 1421212 1534156 1599845 1776515 1917695 3199690 3553030 3835390 4159597 4454953 4618939 4986007 6399380 7106060 7670780 8319194 8909906 9237878 9972014 16638388 17819812 18475756 19944028 20797985 22274765 23094695 24930035 41595970 44549530 46189390 49860070 57914389 83191940 89099060 92378780 99720140 115828778 231657556 289571945 579143890 752887057 1158287780 1505774114 3011548228 3764435285 7528870570 15057741140