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234612444216432 = 2438362395844931
BaseRepresentation
bin110101010110000011110111…
…011001011011110001110000
31010202200201201121212021012210
4311112003313121123301300
5221222342241204411212
62150551245143452120
7100263122035662432
oct6526036731336160
91122621647767183
10234612444216432
1168833640476557
1222391568a57040
13a0bab2133bc19
1441d14351a6652
151c1cc1c40b53c
hexd560f765bc70

234612444216432 has 40 divisors (see below), whose sum is σ = 606082976024320. Its totient is φ = 78204041173440.

The previous prime is 234612444216349. The next prime is 234612444216439.

It is a happy number.

234612444216432 is nontrivially palindromic in base 10.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234612444216439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37217007 + ... + 43061937.

It is an arithmetic number, because the mean of its divisors is an integer number (15152074400608).

Almost surely, 2234612444216432 is an apocalyptic number.

It is an amenable number.

234612444216432 is an abundant number, since it is smaller than the sum of its proper divisors (371470531807888).

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

234612444216432 is a wasteful number, since it uses less digits than its factorization.

234612444216432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6681181 (or 6681175 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 48.

The spelling of 234612444216432 in words is "two hundred thirty-four trillion, six hundred twelve billion, four hundred forty-four million, two hundred sixteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 836239 1672478 2508717 3344956 5017434 5844931 6689912 10034868 11689862 13379824 17534793 20069736 23379724 35069586 40139472 46759448 70139172 93518896 140278344 280556688 4887759254509 9775518509018 14663277763527 19551037018036 29326555527054 39102074036072 58653111054108 78204148072144 117306222108216 234612444216432