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230214242412032 = 29990145413311
BaseRepresentation
bin110100010110000011101110…
…001001000010011000000000
31010012010021012101012222220212
4310112003232021002120000
5220133312232024141112
62133342543555053252
766330300352326134
oct6426035611023000
91105107171188825
10230214242412032
116739834819455a
12219a108bba1228
139b5c157612b28
1440bc60082b3c4
151b93602856522
hexd160ee242600

230214242412032 has 40 divisors (see below), whose sum is σ = 460025315578752. Its totient is φ = 115095492864000.

The previous prime is 230214242412019. The next prime is 230214242412047.

230214242412032 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 230214242412032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17637344 + ... + 27775967.

Almost surely, 2230214242412032 is an apocalyptic number.

It is an amenable number.

230214242412032 is a deficient number, since it is larger than the sum of its proper divisors (229811073166720).

230214242412032 is an frugal number, since it uses more digits than its factorization.

230214242412032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45423230 (or 45423214 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The spelling of 230214242412032 in words is "two hundred thirty trillion, two hundred fourteen billion, two hundred forty-two million, four hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 9901 19802 39604 79208 158416 316832 633664 1267328 2534656 5069312 45413311 90826622 181653244 363306488 726612976 1453225952 2906451904 5812903808 11625807616 23251615232 449637192211 899274384422 1798548768844 3597097537688 7194195075376 14388390150752 28776780301504 57553560603008 115107121206016 230214242412032