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12415144072134 = 2337373253959051
BaseRepresentation
bin1011010010101010000001…
…0000001001001111000110
31121221212122201220001021210
42310222200100021033012
53111402203340302014
642223234412152250
72420651562263226
oct264524020111706
947855581801253
1012415144072134
113a572621917a1
12148617a768686
136c098767b94b
1430cc7918a086
15167e2e0db859
hexb4aa04093c6

12415144072134 has 64 divisors (see below), whose sum is σ = 25580249291520. Its totient is φ = 4014088617600.

The previous prime is 12415144072127. The next prime is 12415144072139. The reversal of 12415144072134 is 43127044151421.

It is a junction number, because it is equal to n+sod(n) for n = 12415144072092 and 12415144072101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12415144072139) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 210214909 + ... + 210273959.

It is an arithmetic number, because the mean of its divisors is an integer number (399691395180).

Almost surely, 212415144072134 is an apocalyptic number.

12415144072134 is an abundant number, since it is smaller than the sum of its proper divisors (13165105219386).

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

12415144072134 is a wasteful number, since it uses less digits than its factorization.

12415144072134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62005.

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 12415144072134 in words is "twelve trillion, four hundred fifteen billion, one hundred forty-four million, seventy-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 37 74 111 222 373 746 1119 2238 2539 5078 7617 13801 15234 27602 41403 59051 82806 93943 118102 177153 187886 281829 354306 563658 947047 1894094 2184887 2841141 4369774 5682282 6554661 13109322 22026023 35040739 44052046 66078069 70081478 105122217 132156138 149930489 210244434 299860978 449791467 814962851 899582934 1629925702 2444888553 4889777106 5547428093 11094856186 16642284279 33284568558 55924072397 111848144794 167772217191 335544434382 2069190678689 4138381357378 6207572036067 12415144072134