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142552106340 = 223572177389439
BaseRepresentation
bin1000010011000011000…
…1001000010101100100
3111121221200221022111020
42010300301020111210
54313421314400330
6145253150211140
713204400624400
oct2046061102544
9447850838436
10142552106340
1155501a47436
12237644b3ab0
131059a5364a7
146c84564100
153a94ce1210
hex2130c48564

142552106340 has 576 divisors, whose sum is σ = 505107187200. Its totient is φ = 29838606336.

The previous prime is 142552106287. The next prime is 142552106351. The reversal of 142552106340 is 43601255241.

It is a super-2 number, since 2×1425521063402 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 324719841 + ... + 324720279.

It is an arithmetic number, because the mean of its divisors is an integer number (876922200).

Almost surely, 2142552106340 is an apocalyptic number.

142552106340 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 142552106340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252553593600).

142552106340 is an abundant number, since it is smaller than the sum of its proper divisors (362555080860).

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

142552106340 is a wasteful number, since it uses less digits than its factorization.

142552106340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 142552106340 in words is "one hundred forty-two billion, five hundred fifty-two million, one hundred six thousand, three hundred forty".