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140982153984 = 283273178397
BaseRepresentation
bin1000001101001100110…
…0001111001100000000
3111110220021210110201200
42003103030033030000
54302212412411414
6144433304501200
713120445352000
oct2032314171400
9443807713650
10140982153984
1154876828a51
12233a677a800
13103aa1c12b9
146b75c52000
153a0207a109
hex20d330f300

140982153984 has 216 divisors, whose sum is σ = 474039165600. Its totient is φ = 40280389632.

The previous prime is 140982153931. The next prime is 140982154003. The reversal of 140982153984 is 489351289041.

It is a happy number.

140982153984 is a `hidden beast` number, since 1 + 4 + 0 + 9 + 8 + 21 + 539 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 140982153984.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 701074 + ... + 879470.

Almost surely, 2140982153984 is an apocalyptic number.

140982153984 is a gapful number since it is divisible by the number (14) 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 140982153984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237019582800).

140982153984 is an abundant number, since it is smaller than the sum of its proper divisors (333057011616).

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

140982153984 is an equidigital number, since it uses as much as digits as its factorization.

140982153984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178440 (or 178409 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 140982153984 in words is "one hundred forty billion, nine hundred eighty-two million, one hundred fifty-three thousand, nine hundred eighty-four".