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136614323516340 = 223589149917066849
BaseRepresentation
bin11111000100000000000000…
…001110010111001110110100
3122220201012110002121220201110
4133010000000032113032310
5120401242113310010330
61202315430453555020
740530026202021555
oct3704000016271664
9586635402556643
10136614323516340
113a59089a107a8a
12133a4930645a70
135b2c8a1bc3c27
1425a425068032c
1510bd9baad8db0
hex7c40003973b4

136614323516340 has 96 divisors (see below), whose sum is σ = 387076158000000. Its totient is φ = 35997122732032.

The previous prime is 136614323516317. The next prime is 136614323516353. The reversal of 136614323516340 is 43615323416631.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 136614323516340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 528765 + ... + 16538084.

It is an arithmetic number, because the mean of its divisors is an integer number (4032043312500).

Almost surely, 2136614323516340 is an apocalyptic number.

136614323516340 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 136614323516340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193538079000000).

136614323516340 is an abundant number, since it is smaller than the sum of its proper divisors (250461834483660).

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

136614323516340 is a wasteful number, since it uses less digits than its factorization.

136614323516340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17068449 (or 17068447 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 48.

The spelling of 136614323516340 in words is "one hundred thirty-six trillion, six hundred fourteen billion, three hundred twenty-three million, five hundred sixteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 445 534 890 1068 1335 1499 1780 2670 2998 4497 5340 5996 7495 8994 14990 17988 22485 29980 44970 89940 133411 266822 400233 533644 667055 800466 1334110 1600932 2001165 2668220 4002330 8004660 17066849 34133698 51200547 68267396 85334245 102401094 170668490 204802188 256002735 341336980 512005470 1024010940 1518949561 3037899122 4556848683 6075798244 7594747805 9113697366 15189495610 18227394732 22784243415 25583206651 30378991220 45568486830 51166413302 76749619953 91136973660 102332826604 127916033255 153499239906 255832066510 306998479812 383748099765 511664133020 767496199530 1534992399060 2276905391939 4553810783878 6830716175817 9107621567756 11384526959695 13661432351634 22769053919390 27322864703268 34153580879085 45538107838780 68307161758170 136614323516340