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142670265840 = 243351931127883
BaseRepresentation
bin1000010011011111001…
…1110111110111110000
3111122020221021102212000
42010313303313313300
54314142042001330
6145313010534000
713210334151624
oct2046763676760
9448227242760
10142670265840
1155562711413
1223797b97300
13105b8b6775b
146c96121184
153aa0381560
hex2137cf7df0

142670265840 has 640 divisors, whose sum is σ = 538784563200. Its totient is φ = 34566497280.

The previous prime is 142670265811. The next prime is 142670265863. The reversal of 142670265840 is 48562076241.

142670265840 = T71 + T72 + ... + T9494.

142670265840 is a `hidden beast` number, since 1 + 4 + 2 + 67 + 0 + 2 + 6 + 584 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 161574039 + ... + 161574921.

It is an arithmetic number, because the mean of its divisors is an integer number (841850880).

Almost surely, 2142670265840 is an apocalyptic number.

142670265840 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 142670265840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269392281600).

142670265840 is an abundant number, since it is smaller than the sum of its proper divisors (396114297360).

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

142670265840 is a wasteful number, since it uses less digits than its factorization.

142670265840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 142670265840 in words is "one hundred forty-two billion, six hundred seventy million, two hundred sixty-five thousand, eight hundred forty".