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140381986800 = 243521199710667
BaseRepresentation
bin1000001010111101101…
…0110001111111110000
3111102100110110211010110
42002233122301333300
54300000242034200
6144253545101320
713066540125306
oct2025732617760
9442313424113
10140381986800
1154598a76510
1223259787840
1310312a675a3
146b1a264276
1539b9527b50
hex20af6b1ff0

140381986800 has 240 divisors, whose sum is σ = 491109316992. Its totient is φ = 33994675200.

The previous prime is 140381986763. The next prime is 140381986807. The reversal of 140381986800 is 8689183041.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 140381986800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140381986807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13155067 + ... + 13165733.

Almost surely, 2140381986800 is an apocalyptic number.

140381986800 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 140381986800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245554658496).

140381986800 is an abundant number, since it is smaller than the sum of its proper divisors (350727330192).

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

140381986800 is a wasteful number, since it uses less digits than its factorization.

140381986800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11696 (or 11685 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 140381986800 in words is "one hundred forty billion, three hundred eighty-one million, nine hundred eighty-six thousand, eight hundred".