Search a number
-
+
42232322242040 = 2357150829722293
BaseRepresentation
bin10011001101000111110101…
…00100001011010111111000
312112112101000011001120100112
421212203322210023113320
521013413243443221130
6225453132213123452
711616120213033440
oct1146437244132770
9175471004046315
1042232322242040
1112502699a02987
1248a0aa7329588
131a7464c674cb8
14a600aba73120
154d385daae495
hex2668fa90b5f8

42232322242040 has 32 divisors (see below), whose sum is σ = 108597400051680. Its totient is φ = 14479653340032.

The previous prime is 42232322242039. The next prime is 42232322242043. The reversal of 42232322242040 is 4024222323224.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 42232322241988 and 42232322242006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42232322242043) 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, 75414860867 + ... + 75414861426.

It is an arithmetic number, because the mean of its divisors is an integer number (3393668751615).

Almost surely, 242232322242040 is an apocalyptic number.

42232322242040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42232322242040 is an abundant number, since it is smaller than the sum of its proper divisors (66365077809640).

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

42232322242040 is a wasteful number, since it uses less digits than its factorization.

42232322242040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150829722311 (or 150829722307 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 42232322242040 its reverse (4024222323224), we get a palindrome (46256544565264).

The spelling of 42232322242040 in words is "forty-two trillion, two hundred thirty-two billion, three hundred twenty-two million, two hundred forty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 150829722293 301659444586 603318889172 754148611465 1055808056051 1206637778344 1508297222930 2111616112102 3016594445860 4223232224204 5279040280255 6033188891720 8446464448408 10558080560510 21116161121020 42232322242040