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42233240314440 = 2333572798058207
BaseRepresentation
bin10011001101001001100010…
…10010010110001001001000
312112112110101010120110221000
421212210301102112021020
521013422134010030230
6225453403250415000
711616152031362400
oct1146446122261110
9175473333513830
1042233240314440
11125030201592aa
1248a1102891460
131a747679285c6
14a60157975800
154d38b44aab60
hex266931496248

42233240314440 has 192 divisors, whose sum is σ = 163761544281600. Its totient is φ = 9653312059776.

The previous prime is 42233240314393. The next prime is 42233240314493. The reversal of 42233240314440 is 4441304233224.

42233240314440 is a `hidden beast` number, since 4 + 2 + 2 + 332 + 4 + 0 + 314 + 4 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42233240314395 and 42233240314404.

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, 398976184 + ... + 399082023.

It is an arithmetic number, because the mean of its divisors is an integer number (852924709800).

Almost surely, 242233240314440 is an apocalyptic number.

42233240314440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42233240314440 is an abundant number, since it is smaller than the sum of its proper divisors (121528303967160).

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

42233240314440 is a wasteful number, since it uses less digits than its factorization.

42233240314440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798058241 (or 798058224 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 42233240314440 its reverse (4441304233224), we get a palindrome (46674544547664).

The spelling of 42233240314440 in words is "forty-two trillion, two hundred thirty-three billion, two hundred forty million, three hundred fourteen thousand, four hundred forty".