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142053943680 = 27325113122333
BaseRepresentation
bin1000010001001100010…
…0110010100110000000
3111120122222120000210100
42010103010302212000
54311411302144210
6145131513002400
713156141412205
oct2042304624600
9446588500710
10142053943680
1155276825460
12236456b3400
131051b27579c
146c38329cac
153a661dc5c0
hex2113132980

142053943680 has 576 divisors, whose sum is σ = 553179566160. Its totient is φ = 33312153600.

The previous prime is 142053943667. The next prime is 142053943723. The reversal of 142053943680 is 86349350241.

142053943680 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 539 + 4 + 36 + 80 = 666.

142053943680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1420539436802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60887794 + ... + 60890126.

Almost surely, 2142053943680 is an apocalyptic number.

142053943680 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 142053943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276589783080).

142053943680 is an abundant number, since it is smaller than the sum of its proper divisors (411125622480).

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

142053943680 is a wasteful number, since it uses less digits than its factorization.

142053943680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 142053943680 in words is "one hundred forty-two billion, fifty-three million, nine hundred forty-three thousand, six hundred eighty".