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130736341440 = 2633515131521
BaseRepresentation
bin111100111000001111…
…1100100000111000000
3110111110020111021012000
41321300133210013000
54120222000411230
6140020501304000
712305524365255
oct1716037440700
9414406437160
10130736341440
1150499290381
1221407405000
13c4365c9423
1464831c342c
153602813b60
hex1e707e41c0

130736341440 has 112 divisors (see below), whose sum is σ = 461208790560. Its totient is φ = 34863022080.

The previous prime is 130736341429. The next prime is 130736341453. The reversal of 130736341440 is 44143637031.

130736341440 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 3 + 634 + 14 + 4 + 0 = 666.

It is a super-2 number, since 2×1307363414402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 130736341395 and 130736341404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7557121 + ... + 7574400.

It is an arithmetic number, because the mean of its divisors is an integer number (4117935630).

Almost surely, 2130736341440 is an apocalyptic number.

130736341440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130736341440 is an abundant number, since it is smaller than the sum of its proper divisors (330472449120).

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

130736341440 is a wasteful number, since it uses less digits than its factorization.

130736341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15131547 (or 15131531 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Adding to 130736341440 its reverse (44143637031), we get a palindrome (174879978471).

The spelling of 130736341440 in words is "one hundred thirty billion, seven hundred thirty-six million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 15131521 30263042 45394563 60526084 75657605 90789126 121052168 136183689 151315210 181578252 226972815 242104336 272367378 302630420 363156504 408551067 453945630 484208672 544734756 605260840 680918445 726313008 817102134 907891260 968417344 1089469512 1210521680 1361836890 1452626016 1634204268 1815782520 2042755335 2178939024 2421043360 2723673780 2905252032 3268408536 3631565040 4085510670 4357878048 4842086720 5447347560 6536817072 7263130080 8171021340 8715756096 10894695120 13073634144 14526260160 16342042680 21789390240 26147268288 32684085360 43578780480 65368170720 130736341440