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242288373690 = 234511311276907
BaseRepresentation
bin1110000110100110000…
…0110010111110111010
3212011101111022122120000
43201221200302332322
512432201310424230
6303150012413430
723335063124136
oct3415140627672
9764344278500
10242288373690
119383251a270
123ab59a77276
1319b035059bc
14ba265723c6
156480cd2b60
hex3869832fba

242288373690 has 320 divisors, whose sum is σ = 739522510848. Its totient is φ = 56386108800.

The previous prime is 242288373683. The next prime is 242288373727. The reversal of 242288373690 is 96373882242.

242288373690 is a `hidden beast` number, since 24 + 228 + 8 + 37 + 369 + 0 = 666.

It is a super-2 number, since 2×2422883736902 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35075217 + ... + 35082123.

Almost surely, 2242288373690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242288373690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369761255424).

242288373690 is an abundant number, since it is smaller than the sum of its proper divisors (497234137158).

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

242288373690 is a wasteful number, since it uses less digits than its factorization.

242288373690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7095 (or 7086 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 242288373690 in words is "two hundred forty-two billion, two hundred eighty-eight million, three hundred seventy-three thousand, six hundred ninety".