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142171731230400 = 2635523111795743
BaseRepresentation
bin100000010100110111101111…
…100010010111111011000000
3200122101111002101200210100000
4200110313233202113323000
5122113320201143333100
61222212443000200000
741642366015126214
oct4024675742277300
9618344071623300
10142171731230400
1141333768963223
1213b41a01169000
136143976791421
142717211708944
15116832dcd6900
hex814def897ec0

142171731230400 has 504 divisors, whose sum is σ = 540931304402944. Its totient is φ = 36689475916800.

The previous prime is 142171731230303. The next prime is 142171731230447. The reversal of 142171731230400 is 4032137171241.

142171731230400 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 7 + 17 + 3 + 1 + 230 + 400 = 666.

142171731230400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1421717312304002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 6154929 + ... + 17950671.

Almost surely, 2142171731230400 is an apocalyptic number.

142171731230400 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 142171731230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270465652201472).

142171731230400 is an abundant number, since it is smaller than the sum of its proper divisors (398759573172544).

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

142171731230400 is a wasteful number, since it uses less digits than its factorization.

142171731230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11795811 (or 11795784 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 142171731230400 in words is "one hundred forty-two trillion, one hundred seventy-one billion, seven hundred thirty-one million, two hundred thirty thousand, four hundred".