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142661822940 = 223357137936749
BaseRepresentation
bin1000010011011101001…
…1101010100111011100
3111122020100101111101000
42010313103222213130
54314132411313230
6145312105550300
713210202326020
oct2046723524734
9448210344330
10142661822940
115555897510a
12237951a5390
13105b719c860
146c94d64380
153a9e764b60
hex21374ea9dc

142661822940 has 384 divisors, whose sum is σ = 553190400000. Its totient is φ = 29718254592.

The previous prime is 142661822939. The next prime is 142661822983. The reversal of 142661822940 is 49228166241.

It is a happy number.

142661822940 is a `hidden beast` number, since 1 + 4 + 2 + 6 + 618 + 2 + 29 + 4 + 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3863686 + ... + 3900434.

It is an arithmetic number, because the mean of its divisors is an integer number (1440600000).

Almost surely, 2142661822940 is an apocalyptic number.

142661822940 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 142661822940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276595200000).

142661822940 is an abundant number, since it is smaller than the sum of its proper divisors (410528577060).

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

142661822940 is a wasteful number, since it uses less digits than its factorization.

142661822940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36866 (or 36858 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 142661822940 in words is "one hundred forty-two billion, six hundred sixty-one million, eight hundred twenty-two thousand, nine hundred forty".