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104042000000 = 275652021
BaseRepresentation
bin110000011100101100…
…0101110111010000000
3100221112212101012212102
41200321120232322000
53201034223000000
6115443553045532
710342154260031
oct1407130567200
9327485335772
10104042000000
114013aaa6574
12181b75568a8
139a71048113
14506dbc8a88
152a8e0093d5
hex183962ee80

104042000000 has 112 divisors (see below), whose sum is σ = 259090628910. Its totient is φ = 41616000000.

The previous prime is 104041999993. The next prime is 104042000047. The reversal of 104042000000 is 240401.

It can be written as a sum of positive squares in 7 ways, for example, as 56298001984 + 47743998016 = 237272^2 + 218504^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1973990 + ... + 2026010.

Almost surely, 2104042000000 is an apocalyptic number.

104042000000 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 104042000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129545314455).

104042000000 is an abundant number, since it is smaller than the sum of its proper divisors (155048628910).

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

104042000000 is an frugal number, since it uses more digits than its factorization.

104042000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52065 (or 52028 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 104042000000 its reverse (240401), we get a palindrome (104042240401).

The spelling of 104042000000 in words is "one hundred four billion, forty-two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 52021 62500 80000 100000 104042 125000 200000 208084 250000 260105 400000 416168 500000 520210 832336 1000000 1040420 1300525 1664672 2000000 2080840 2601050 3329344 4161680 5202100 6502625 6658688 8323360 10404200 13005250 16646720 20808400 26010500 32513125 33293440 41616800 52021000 65026250 83233600 104042000 130052500 162565625 166467200 208084000 260105000 325131250 416168000 520210000 650262500 812828125 832336000 1040420000 1300525000 1625656250 2080840000 2601050000 3251312500 4161680000 5202100000 6502625000 10404200000 13005250000 20808400000 26010500000 52021000000 104042000000