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136042314132030 = 235176132677162553
BaseRepresentation
bin11110111011101011010001…
…110011101110101000111110
3122211200111222210001110112020
4132323223101303232220332
5120312404124404211110
61201200550515421010
740440506236334235
oct3673532163565076
9584614883043466
10136042314132030
113a390248791329
1213311ab38b4766
135aba973249c17
1425846a9a25b1c
1510adb8d27bd70
hex7bbad1ceea3e

136042314132030 has 128 divisors (see below), whose sum is σ = 346402969331328. Its totient is φ = 34075310211072.

The previous prime is 136042314131989. The next prime is 136042314132041. The reversal of 136042314132030 is 30231413240631.

It is a super-2 number, since 2×1360423141320302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 136042314131982 and 136042314132000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 836829234 + ... + 836991786.

It is an arithmetic number, because the mean of its divisors is an integer number (2706273197901).

Almost surely, 2136042314132030 is an apocalyptic number.

136042314132030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 136042314132030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173201484665664).

136042314132030 is an abundant number, since it is smaller than the sum of its proper divisors (210360655199298).

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

136042314132030 is a wasteful number, since it uses less digits than its factorization.

136042314132030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165870.

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 136042314132030 its reverse (30231413240631), we get a palindrome (166273727372661).

The spelling of 136042314132030 in words is "one hundred thirty-six trillion, forty-two billion, three hundred fourteen million, one hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 613 1226 1839 2677 3065 3678 5354 6130 8031 9195 10421 13385 16062 18390 20842 26770 31263 40155 45509 52105 62526 80310 91018 104210 136527 156315 162553 227545 273054 312630 325106 455090 487659 682635 812765 975318 1365270 1625530 1641001 2438295 2763401 3282002 4876590 4923003 5526802 8205005 8290203 9846006 13817005 16410010 16580406 24615015 27634010 27897017 41451015 49230030 55794034 82902030 83691051 99644989 139485085 167382102 199289978 278970170 298934967 418455255 435154381 498224945 597869934 836910510 870308762 996449890 1305463143 1494674835 1693964813 2175771905 2610926286 2989349670 3387929626 4351543810 5081894439 6527315715 7397624477 8469824065 10163788878 13054631430 14795248954 16939648130 22192873431 25409472195 36988122385 44385746862 50818944390 73976244770 110964367155 221928734310 266749635553 533499271106 800248906659 1333748177765 1600497813318 2667496355530 4001244533295 4534743804401 8002489066590 9069487608802 13604231413203 22673719022005 27208462826406 45347438044010 68021157066015 136042314132030