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139394661120 = 283251113223283
BaseRepresentation
bin1000000111010010010…
…0011011101100000000
3111022210122122110220200
42001310210123230000
54240440013123440
6144011555205200
713033221032631
oct2016444335400
9438718573820
10139394661120
115413171a080
1223022ba6800
13101b6347300
146a65095888
15395c9ebc30
hex207491bb00

139394661120 has 1296 divisors, whose sum is σ = 596591993088. Its totient is φ = 29731553280.

The previous prime is 139394661089. The next prime is 139394661151. The reversal of 139394661120 is 21166493931.

139394661120 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 9 + 4 + 6 + 611 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (139394661089) and next prime (139394661151).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 492560499 + ... + 492560781.

It is an arithmetic number, because the mean of its divisors is an integer number (460333328).

Almost surely, 2139394661120 is an apocalyptic number.

139394661120 is a gapful number since it is divisible by the number (10) 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 139394661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298295996544).

139394661120 is an abundant number, since it is smaller than the sum of its proper divisors (457197331968).

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

139394661120 is a wasteful number, since it uses less digits than its factorization.

139394661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 139394661120 in words is "one hundred thirty-nine billion, three hundred ninety-four million, six hundred sixty-one thousand, one hundred twenty".