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139977376440 = 233511173126491
BaseRepresentation
bin1000001001011101001…
…1010100001010111000
3111101022021010111001120
42002113103110022320
54243133202021230
6144145452545240
713053525032256
oct2022723241270
9441267114046
10139977376440
1154400641790
1223166182220
1310279ca0685
146abc61d5d6
153993c53310
hex20974d42b8

139977376440 has 384 divisors, whose sum is σ = 501284194560. Its totient is φ = 30902784000.

The previous prime is 139977376439. The next prime is 139977376501. The reversal of 139977376440 is 44673779931.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21561595 + ... + 21568085.

It is an arithmetic number, because the mean of its divisors is an integer number (1305427590).

Almost surely, 2139977376440 is an apocalyptic number.

139977376440 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 139977376440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250642097280).

139977376440 is an abundant number, since it is smaller than the sum of its proper divisors (361306818120).

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

139977376440 is a wasteful number, since it uses less digits than its factorization.

139977376440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6595 (or 6560 counting only the distinct ones).

The product of its (nonzero) digits is 24004512, while the sum is 60.

The spelling of 139977376440 in words is "one hundred thirty-nine billion, nine hundred seventy-seven million, three hundred seventy-six thousand, four hundred forty".