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126124138416 = 24323114242879
BaseRepresentation
bin111010101110110010…
…1011001111110110000
3110001112210211002001210
41311131211121332300
54031300234412131
6133535102000120
712053321326233
oct1653545317660
9401483732053
10126124138416
1149541873a41
122053a876040
13bb7cbc8903
14616682b41a
153432960146
hex1d5d959fb0

126124138416 has 40 divisors (see below), whose sum is σ = 339986810880. Its totient is φ = 40213493056.

The previous prime is 126124138391. The next prime is 126124138417. The reversal of 126124138416 is 614831421621.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (126124138417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57120336 + ... + 57122543.

It is an arithmetic number, because the mean of its divisors is an integer number (8499670272).

Almost surely, 2126124138416 is an apocalyptic number.

126124138416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

126124138416 is an abundant number, since it is smaller than the sum of its proper divisors (213862672464).

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

126124138416 is a wasteful number, since it uses less digits than its factorization.

126124138416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114242913 (or 114242907 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The spelling of 126124138416 in words is "one hundred twenty-six billion, one hundred twenty-four million, one hundred thirty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 114242879 228485758 342728637 456971516 685457274 913943032 1370914548 1827886064 2627586217 2741829096 5255172434 5483658192 7882758651 10510344868 15765517302 21020689736 31531034604 42041379472 63062069208 126124138416