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412032230214 = 2311371321127727
BaseRepresentation
bin1011111111011110000…
…10001110001101000110
31110101112020022222212220
411333233002032031012
523222320222331324
6513141320353210
741524354112253
oct5775702161506
91411466288786
10412032230214
111498184a8010
1267a30915806
132cb15378ca7
1415d2a1b042a
15aab7dd3b79
hex5fef08e346

412032230214 has 64 divisors (see below), whose sum is σ = 923982308352. Its totient is φ = 121390790400.

The previous prime is 412032230201. The next prime is 412032230237.

It is a happy number.

412032230214 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3162019 + ... + 3289745.

It is an arithmetic number, because the mean of its divisors is an integer number (14437223568).

Almost surely, 2412032230214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412032230214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461991154176).

412032230214 is an abundant number, since it is smaller than the sum of its proper divisors (511950078138).

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

412032230214 is a wasteful number, since it uses less digits than its factorization.

412032230214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129101.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 412032 and 230214, that added together give a palindrome (642246).

The spelling of 412032230214 in words is "four hundred twelve billion, thirty-two million, two hundred thirty thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 1321 2442 2642 3963 7926 14531 29062 43593 48877 87186 97754 127727 146631 255454 293262 383181 537647 766362 1075294 1404997 1612941 2809994 3225882 4214991 4725899 8429982 9451798 14177697 28355394 51984889 103969778 155954667 168727367 311909334 337454734 506182101 1012364202 1856001037 3712002074 5568003111 6242912579 11136006222 12485825158 18728737737 37457475474 68672038369 137344076738 206016115107 412032230214