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140995697040 = 2432511194122853
BaseRepresentation
bin1000001101001111111…
…1111001100110010000
3111110221020021112022100
42003103333321212100
54302224344301130
6144434511040400
713121001436062
oct2032377714620
9443836245270
10140995697040
1154883439060
12233ab210100
13103acc53743
146b77979732
153a03352c60
hex20d3ff9990

140995697040 has 480 divisors, whose sum is σ = 557030597760. Its totient is φ = 31590604800.

The previous prime is 140995697033. The next prime is 140995697069. The reversal of 140995697040 is 40796599041.

It is a happy number.

140995697040 is a `hidden beast` number, since 1 + 4 + 0 + 9 + 9 + 569 + 70 + 4 + 0 = 666.

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, 6158254 + ... + 6181106.

It is an arithmetic number, because the mean of its divisors is an integer number (1160480412).

Almost surely, 2140995697040 is an apocalyptic number.

140995697040 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 140995697040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278515298880).

140995697040 is an abundant number, since it is smaller than the sum of its proper divisors (416034900720).

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

140995697040 is a wasteful number, since it uses less digits than its factorization.

140995697040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22943 (or 22934 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 140995697040 in words is "one hundred forty billion, nine hundred ninety-five million, six hundred ninety-seven thousand, forty".