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39142755104 = 2529411028773
BaseRepresentation
bin100100011101000101…
…110000101100100000
310202000220222222120112
4210131011300230200
51120131021130404
625552033030452
72553664633355
oct443505605440
9122026888515
1039142755104
1115667079292
1277049b5428
1338ca5a876b
141c747c062c
15104160356e
hex91d170b20

39142755104 has 48 divisors (see below), whose sum is σ = 81664080120. Its totient is φ = 18435594240.

The previous prime is 39142755103. The next prime is 39142755107. The reversal of 39142755104 is 40155724193.

It can be written as a sum of positive squares in 4 ways, for example, as 16957248400 + 22185506704 = 130220^2 + 148948^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (39142755103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 476339 + ... + 552434.

Almost surely, 239142755104 is an apocalyptic number.

It is an amenable number.

39142755104 is an abundant number, since it is smaller than the sum of its proper divisors (42521325016).

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

39142755104 is a wasteful number, since it uses less digits than its factorization.

39142755104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028853 (or 1028845 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The spelling of 39142755104 in words is "thirty-nine billion, one hundred forty-two million, seven hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 29 32 41 58 82 116 164 232 328 464 656 928 1189 1312 2378 4756 9512 19024 38048 1028773 2057546 4115092 8230184 16460368 29834417 32920736 42179693 59668834 84359386 119337668 168718772 238675336 337437544 477350672 674875088 954701344 1223211097 1349750176 2446422194 4892844388 9785688776 19571377552 39142755104