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4132214122314 = 231936247492301
BaseRepresentation
bin111100001000011011001…
…001111010011101001010
3112122000222002220000101010
4330020123021322131022
51020200233303403224
612442151333304350
7604354055335425
oct74103311723512
915560862800333
104132214122314
11135350a166653
12568a261950b6
1323c8876078c5
141040008c09bc
157274d3c9e29
hex3c21b27a74a

4132214122314 has 16 divisors (see below), whose sum is σ = 8699398152480. Its totient is φ = 1304909722800.

The previous prime is 4132214122301. The next prime is 4132214122403.

It is a happy number.

4132214122314 is nontrivially palindromic in base 10.

4132214122314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41322141223142 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18123746037 + ... + 18123746264.

It is an arithmetic number, because the mean of its divisors is an integer number (543712384530).

Almost surely, 24132214122314 is an apocalyptic number.

4132214122314 is an abundant number, since it is smaller than the sum of its proper divisors (4567184030166).

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

4132214122314 is a wasteful number, since it uses less digits than its factorization.

4132214122314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36247492325.

The product of its digits is 9216, while the sum is 30.

The spelling of 4132214122314 in words is "four trillion, one hundred thirty-two billion, two hundred fourteen million, one hundred twenty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 19 38 57 114 36247492301 72494984602 108742476903 217484953806 688702353719 1377404707438 2066107061157 4132214122314