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139950834144 = 253112191274993
BaseRepresentation
bin1000001001010110111…
…0000100000111100000
3111101020102011222212120
42002111232010013200
54243104403143034
6144143104024240
713053053314422
oct2022556040740
9441212158776
10139950834144
1154397663100
1223159302080
1310274639484
146ab8cb0812
15399175dc49
hex2095b841e0

139950834144 has 288 divisors, whose sum is σ = 428489994240. Its totient is φ = 39852933120.

The previous prime is 139950834143. The next prime is 139950834161. The reversal of 139950834144 is 441438059931.

It is a happy number.

It is a super-3 number, since 3×1399508341443 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139950834143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28026912 + ... + 28031904.

It is an arithmetic number, because the mean of its divisors is an integer number (1487812480).

Almost surely, 2139950834144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139950834144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214244997120).

139950834144 is an abundant number, since it is smaller than the sum of its proper divisors (288539160096).

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

139950834144 is a wasteful number, since it uses less digits than its factorization.

139950834144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5174 (or 5155 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 139950834144 in words is "one hundred thirty-nine billion, nine hundred fifty million, eight hundred thirty-four thousand, one hundred forty-four".