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42323232234312 = 233217193544751341
BaseRepresentation
bin10011001111110001001010…
…01110010001101101001000
312112212001122211020200012100
421213320211032101231020
521021410434422444222
6230003005141513400
711625516102153621
oct1147704516215510
9175761584220170
1042323232234312
11125382002606a7
1248b6638a12860
131a800a9b7bb33
14a6465376ca48
154d5dcec8d4ac
hex267e25391b48

42323232234312 has 192 divisors, whose sum is σ = 127761979363200. Its totient is φ = 12578441287680.

The previous prime is 42323232234263. The next prime is 42323232234463. The reversal of 42323232234312 is 21343223232324.

42323232234312 is a `hidden beast` number, since 4 + 2 + 323 + 2 + 322 + 3 + 4 + 3 + 1 + 2 = 666.

It is a super-2 number, since 2×423232322343122 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 824329762 + ... + 824381102.

It is an arithmetic number, because the mean of its divisors is an integer number (665426975850).

Almost surely, 242323232234312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42323232234312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63880989681600).

42323232234312 is an abundant number, since it is smaller than the sum of its proper divisors (85438747128888).

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

42323232234312 is a wasteful number, since it uses less digits than its factorization.

42323232234312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86836 (or 86829 counting only the distinct ones).

The product of its digits is 248832, while the sum is 36.

Adding to 42323232234312 its reverse (21343223232324), we get a palindrome (63666455466636).

The spelling of 42323232234312 in words is "forty-two trillion, three hundred twenty-three billion, two hundred thirty-two million, two hundred thirty-four thousand, three hundred twelve".