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42314423240 = 23517112955117
BaseRepresentation
bin100111011010001000…
…101101101111001000
311001012222001102022202
4213122020231233020
51143124443020430
631234452535332
73025406443265
oct473210555710
9131188042282
1042314423240
1116a44430521
12824b021548
133cb470767b
142095b1226c
151179ca6d45
hex9da22dbc8

42314423240 has 64 divisors (see below), whose sum is σ = 100899010800. Its totient is φ = 15915737088.

The previous prime is 42314423227. The next prime is 42314423243. The reversal of 42314423240 is 4232441324.

42314423240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 27150471076 + 15163952164 = 164774^2 + 123142^2 .

It is not an unprimeable number, because it can be changed into a prime (42314423243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 740162 + ... + 795278.

Almost surely, 242314423240 is an apocalyptic number.

42314423240 is a gapful number since it is divisible by the number (40) 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 42314423240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50449505400).

42314423240 is an abundant number, since it is smaller than the sum of its proper divisors (58584587560).

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

42314423240 is a wasteful number, since it uses less digits than its factorization.

42314423240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56274 (or 56270 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 42314423240 its reverse (4232441324), we get a palindrome (46546864564).

The spelling of 42314423240 in words is "forty-two billion, three hundred fourteen million, four hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1129 2258 4516 5645 9032 11290 19193 22580 38386 45160 55117 76772 95965 110234 153544 191930 220468 275585 383860 440936 551170 767720 936989 1102340 1873978 2204680 3747956 4684945 7495912 9369890 18739780 37479560 62227093 124454186 248908372 311135465 497816744 622270930 1057860581 1244541860 2115721162 2489083720 4231442324 5289302905 8462884648 10578605810 21157211620 42314423240