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136714115120 = 24511247300497
BaseRepresentation
bin111111101010011001…
…0111101100000110000
3111001212211201122002012
41333110302331200300
54214442303140440
6142450001542052
712606621543002
oct1772462754060
9431784648065
10136714115120
1152a86610200
12225b5344928
13cb79bb260b
14688d088372
15385250ae65
hex1fd4cbd830

136714115120 has 120 divisors (see below), whose sum is σ = 356818537152. Its totient is φ = 48656312320.

The previous prime is 136714115029. The next prime is 136714115137. The reversal of 136714115120 is 21511417631.

It is a super-2 number, since 2×1367141151202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304712 + ... + 605208.

Almost surely, 2136714115120 is an apocalyptic number.

136714115120 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 136714115120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178409268576).

136714115120 is an abundant number, since it is smaller than the sum of its proper divisors (220104422032).

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

136714115120 is a wasteful number, since it uses less digits than its factorization.

136714115120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300579 (or 300562 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The spelling of 136714115120 in words is "one hundred thirty-six billion, seven hundred fourteen million, one hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 47 55 80 88 94 110 121 176 188 220 235 242 376 440 470 484 517 605 752 880 940 968 1034 1210 1880 1936 2068 2420 2585 3760 4136 4840 5170 5687 8272 9680 10340 11374 20680 22748 28435 41360 45496 56870 90992 113740 227480 300497 454960 600994 1201988 1502485 2403976 3004970 3305467 4807952 6009940 6610934 12019880 13221868 14123359 16527335 24039760 26443736 28246718 33054670 36360137 52887472 56493436 66109340 70616795 72720274 112986872 132218680 141233590 145440548 155356949 181800685 225973744 264437360 282467180 290881096 310713898 363601370 564934360 581762192 621427796 727202740 776784745 1129868720 1242855592 1454405480 1553569490 1708926439 2485711184 2908810960 3107138980 3417852878 6214277960 6835705756 8544632195 12428555920 13671411512 17089264390 27342823024 34178528780 68357057560 136714115120