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42006142220 = 2257631147543
BaseRepresentation
bin100111000111110000…
…101101110100001100
311000102110222010021012
4213013300231310030
51142012033022340
631144121224352
73014644213640
oct470760556414
9130373863235
1042006142220
11168a6410419
1281839320b8
133c6589a573
142066bc4c20
15115cbae565
hex9c7c2dd0c

42006142220 has 48 divisors (see below), whose sum is σ = 100832836608. Its totient is φ = 14399520960.

The previous prime is 42006142219. The next prime is 42006142259. The reversal of 42006142220 is 2224160024.

42006142220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 859769 + ... + 907311.

It is an arithmetic number, because the mean of its divisors is an integer number (2100684096).

Almost surely, 242006142220 is an apocalyptic number.

It is an amenable number.

42006142220 is an abundant number, since it is smaller than the sum of its proper divisors (58826694388).

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

42006142220 is a wasteful number, since it uses less digits than its factorization.

42006142220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53870 (or 53868 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The spelling of 42006142220 in words is "forty-two billion, six million, one hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 6311 12622 25244 31555 44177 47543 63110 88354 95086 126220 176708 190172 220885 237715 332801 441770 475430 665602 883540 950860 1331204 1664005 3328010 6656020 300043873 600087746 1200175492 1500219365 2100307111 3000438730 4200614222 6000877460 8401228444 10501535555 21003071110 42006142220