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42042221011400 = 23521712365359121
BaseRepresentation
bin10011000111100101101111…
…01001100010000111001000
312111212012022200001110122112
421203302313221202013020
521002304432034331100
6225225532452041452
711566310300162351
oct1143626751420710
9174765280043575
1042042221011400
111243a0077a4705
124870092903288
131a5c74508b5cc
14a54bd64c2d28
154cd93469db35
hex263cb7a621c8

42042221011400 has 48 divisors (see below), whose sum is σ = 103498055851140. Its totient is φ = 15827659673600.

The previous prime is 42042221011391. The next prime is 42042221011411. The reversal of 42042221011400 is 411012224024.

It can be written as a sum of positive squares in 6 ways, for example, as 35294601737476 + 6747619273924 = 5940926^2 + 2597618^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6182676161 + ... + 6182682960.

Almost surely, 242042221011400 is an apocalyptic number.

42042221011400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42042221011400 is an abundant number, since it is smaller than the sum of its proper divisors (61455834839740).

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

42042221011400 is a wasteful number, since it uses less digits than its factorization.

42042221011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12365359154 (or 12365359145 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 42042221011400 its reverse (411012224024), we get a palindrome (42453233235424).

The spelling of 42042221011400 in words is "forty-two trillion, forty-two billion, two hundred twenty-one million, eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 12365359121 24730718242 49461436484 61826795605 98922872968 123653591210 210211105057 247307182420 309133978025 420422210114 494614364840 618267956050 840844420228 1051055525285 1236535912100 1681688840456 2102111050570 2473071824200 4204222101140 5255277626425 8408444202280 10510555252850 21021110505700 42042221011400