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140755935096 = 2332721712491879
BaseRepresentation
bin1000001100010110110…
…1010001111101111000
3111110022112010100202100
42003011231101331320
54301232004410341
6144355024103400
713112030464500
oct2030555217570
9443275110670
10140755935096
1154770068397
1223342a64b60
131037238707a
146b53ba6a00
1539dc2923b6
hex20c5b51f78

140755935096 has 288 divisors, whose sum is σ = 470164500000. Its totient is φ = 37799903232.

The previous prime is 140755935091. The next prime is 140755935193. The reversal of 140755935096 is 690539557041.

140755935096 is a `hidden beast` number, since 1 + 40 + 7 + 5 + 5 + 93 + 509 + 6 = 666.

140755935096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140755935091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74909085 + ... + 74910963.

It is an arithmetic number, because the mean of its divisors is an integer number (1632515625).

Almost surely, 2140755935096 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 140755935096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235082250000).

140755935096 is an abundant number, since it is smaller than the sum of its proper divisors (329408564904).

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

140755935096 is a wasteful number, since it uses less digits than its factorization.

140755935096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3171 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 140755935096 in words is "one hundred forty billion, seven hundred fifty-five million, nine hundred thirty-five thousand, ninety-six".