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120431394048 = 28374241271
BaseRepresentation
bin111000000101001000…
…1010011110100000000
3102111212001220200212210
41300022101103310000
53433120414102143
6131154142422120
711462254650000
oct1601221236400
9374761820783
10120431394048
1147090422929
121b410291940
13b48369b314
145b86760000
1531eccbb033
hex1c0a453d00

120431394048 has 360 divisors, whose sum is σ = 376858461056. Its totient is φ = 34139750400.

The previous prime is 120431394047. The next prime is 120431394077. The reversal of 120431394048 is 840493134021.

It is a junction number, because it is equal to n+sod(n) for n = 120431393997 and 120431394015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120431394043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 444396153 + ... + 444396423.

Almost surely, 2120431394048 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 120431394048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188429230528).

120431394048 is an abundant number, since it is smaller than the sum of its proper divisors (256427067008).

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

120431394048 is an frugal number, since it uses more digits than its factorization.

120431394048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 120431394048 in words is "one hundred twenty billion, four hundred thirty-one million, three hundred ninety-four thousand, forty-eight".