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139654142508132 = 22327233110314235303
BaseRepresentation
bin11111110000001111000011…
…100011100011110001100100
3200022110210202022100120002100
4133300033003203203301210
5121301043140440230012
61213004121040412100
741262451561102020
oct3760170343436144
9608423668316070
10139654142508132
1140552a9774063a
12137b5aa9917030
135cc043813b625
14266b421aa7380
151122ad0eac8dc
hex7f03c38e3c64

139654142508132 has 576 divisors, whose sum is σ = 439176853979136. Its totient is φ = 36543986645760.

The previous prime is 139654142508131. The next prime is 139654142508137. The reversal of 139654142508132 is 231805241456931.

139654142508132 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 541 + 42 + 50 + 8 + 1 + 3 + 2 = 666.

It is a super-2 number, since 2×1396541425081322 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (139654142508131) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26334928993 + ... + 26334934295.

It is an arithmetic number, because the mean of its divisors is an integer number (762459815936).

Almost surely, 2139654142508132 is an apocalyptic number.

139654142508132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139654142508132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219588426989568).

139654142508132 is an abundant number, since it is smaller than the sum of its proper divisors (299522711471004).

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

139654142508132 is a wasteful number, since it uses less digits than its factorization.

139654142508132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6900 (or 6895 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 139654142508132 in words is "one hundred thirty-nine trillion, six hundred fifty-four billion, one hundred forty-two million, five hundred eight thousand, one hundred thirty-two".