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140154197040 = 2432511137917231
BaseRepresentation
bin1000001010000111010…
…1110101010000110000
3111101202120211220022200
42002201311311100300
54244013433301130
6144215210503200
713061103006234
oct2024165652060
9441676756280
10140154197040
1154491432710
12231b5434b00
13102a7800350
146ad7cca5c4
1539a452e760
hex20a1d75430

140154197040 has 480 divisors, whose sum is σ = 560004157440. Its totient is φ = 30964377600.

The previous prime is 140154196979. The next prime is 140154197081. The reversal of 140154197040 is 40791451041.

140154197040 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 541 + 9 + 70 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 140154196986 and 140154197004.

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, 8125225 + ... + 8142455.

It is an arithmetic number, because the mean of its divisors is an integer number (1166675328).

Almost surely, 2140154197040 is an apocalyptic number.

140154197040 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 140154197040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280002078720).

140154197040 is an abundant number, since it is smaller than the sum of its proper divisors (419849960400).

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

140154197040 is a wasteful number, since it uses less digits than its factorization.

140154197040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17353 (or 17344 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 140154197040 in words is "one hundred forty billion, one hundred fifty-four million, one hundred ninety-seven thousand, forty".