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234307255322064 = 24319363234000037
BaseRepresentation
bin110101010001100111101000…
…101110001100010111010000
31010201121112222111010002112210
4311101213220232030113100
5221202342224330301224
62150155133410352120
7100232066133121131
oct6521475056142720
91121545874102483
10234307255322064
1168726170285101
122234239588b640
13a0981054b5322
1441c0762c71c88
151c14d09432429
hexd519e8b8c5d0

234307255322064 has 80 divisors (see below), whose sum is σ = 608526356945472. Its totient is φ = 77685435162624.

The previous prime is 234307255322047. The next prime is 234307255322069. The reversal of 234307255322064 is 460223552703432.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234307255322069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56576254 + ... + 60576290.

Almost surely, 2234307255322064 is an apocalyptic number.

234307255322064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234307255322064 is an abundant number, since it is smaller than the sum of its proper divisors (374219101623408).

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

234307255322064 is a wasteful number, since it uses less digits than its factorization.

234307255322064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4006564 (or 4006558 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 48.

The spelling of 234307255322064 in words is "two hundred thirty-four trillion, three hundred seven billion, two hundred fifty-five million, three hundred twenty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 193 386 579 772 1158 1544 2316 3088 4632 6323 9264 12646 18969 25292 37938 50584 75876 101168 151752 303504 1220339 2440678 3661017 4000037 4881356 7322034 8000074 9762712 12000111 14644068 16000148 19525424 24000222 29288136 32000296 48000444 58576272 64000592 96000888 192001776 772007141 1544014282 2316021423 3088028564 4632042846 6176057128 9264085692 12352114256 18528171384 25292233951 37056342768 50584467902 75876701853 101168935804 151753403706 202337871608 303506807412 404675743216 607013614824 1214027229648 4881401152543 9762802305086 14644203457629 19525604610172 29288406915258 39051209220344 58576813830516 78102418440688 117153627661032 234307255322064