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42002840292 = 22373116130123
BaseRepresentation
bin100111000111100100…
…000111101011100100
311000102020202100212120
4213013210013223210
51142010211342132
631143522345540
73014604152220
oct470744075344
9130366670776
1042002840292
11168a4565656
1281827bb2b0
133c64cb266a
1420665a5780
15115c75b02c
hex9c7907ae4

42002840292 has 48 divisors (see below), whose sum is σ = 115620728832. Its totient is φ = 11613687840.

The previous prime is 42002840267. The next prime is 42002840359. The reversal of 42002840292 is 29204820024.

It is a happy number.

42002840292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 8062458 + ... + 8067665.

It is an arithmetic number, because the mean of its divisors is an integer number (2408765184).

Almost surely, 242002840292 is an apocalyptic number.

42002840292 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42002840292 is an abundant number, since it is smaller than the sum of its proper divisors (73617888540).

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

42002840292 is a wasteful number, since it uses less digits than its factorization.

42002840292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16130168 (or 16130166 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

It can be divided in two parts, 420028 and 40292, that added together give a triangular number (460320 = T959).

The spelling of 42002840292 in words is "forty-two billion, two million, eight hundred forty thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 1302 2604 16130123 32260246 48390369 64520492 96780738 112910861 193561476 225821722 338732583 451643444 500033813 677465166 1000067626 1354930332 1500101439 2000135252 3000202878 3500236691 6000405756 7000473382 10500710073 14000946764 21001420146 42002840292