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124142074511 = 71337263140191
BaseRepresentation
bin111001110011101110…
…0011011101010001111
3102212102200012210112112
41303213130123222033
54013220332341021
6133010255254235
711653233136250
oct1634734335217
9385380183475
10124142074511
1148714a67aa4
1220086b1a37b
13b925391430
1460194c0b27
153368941d5b
hex1ce771ba8f

124142074511 has 32 divisors (see below), whose sum is σ = 157517488128. Its totient is φ = 95203589760.

The previous prime is 124142074501. The next prime is 124142074549. The reversal of 124142074511 is 115470241421.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-124142074511 is a prime.

It is a super-2 number, since 2×1241420745112 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124142074501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 815426 + ... + 955616.

It is an arithmetic number, because the mean of its divisors is an integer number (4922421504).

Almost surely, 2124142074511 is an apocalyptic number.

124142074511 is a deficient number, since it is larger than the sum of its proper divisors (33375413617).

124142074511 is a wasteful number, since it uses less digits than its factorization.

124142074511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140511.

The product of its (nonzero) digits is 8960, while the sum is 32.

The spelling of 124142074511 in words is "one hundred twenty-four billion, one hundred forty-two million, seventy-four thousand, five hundred eleven".

Divisors: 1 7 13 37 91 259 263 481 1841 3367 3419 9731 23933 68117 126503 140191 885521 981337 1822483 5187067 12757381 36309469 36870233 67431871 258091631 472023097 479313029 1364198621 3355191203 9549390347 17734582073 124142074511