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142739638470144 = 2933109161958511
BaseRepresentation
bin100000011101001000101001…
…011100100100011000000000
3200201101202221211100201002000
4200131020221130210120000
5122202121234422021034
61223325403515224000
742031412210043432
oct4035105134443000
9621352854321060
10142739638470144
11415325a4779a61
1214013a94148000
1361853a0602061
1427368c7620652
151177ebb443599
hex81d229724600

142739638470144 has 320 divisors, whose sum is σ = 426666227328000. Its totient is φ = 47113442795520.

The previous prime is 142739638470139. The next prime is 142739638470179. The reversal of 142739638470144 is 441074836937241.

It is a happy number.

142739638470144 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 3 + 96 + 38 + 470 + 1 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2439505849 + ... + 2439564359.

It is an arithmetic number, because the mean of its divisors is an integer number (1333331960400).

Almost surely, 2142739638470144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142739638470144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213333113664000).

142739638470144 is an abundant number, since it is smaller than the sum of its proper divisors (283926588857856).

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

142739638470144 is a wasteful number, since it uses less digits than its factorization.

142739638470144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60266 (or 60244 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 142739638470144 in words is "one hundred forty-two trillion, seven hundred thirty-nine billion, six hundred thirty-eight million, four hundred seventy thousand, one hundred forty-four".