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4202321214 = 2371322325741
BaseRepresentation
bin1111101001111010…
…0101010100111110
3101211212102000222110
43322132211110332
532101243234324
61532554154450
7206065066230
oct37236452476
911755360873
104202321214
111867112143
12993422a26
1351c80c400
142bc17c250
15198ddc329
hexfa7a553e

4202321214 has 96 divisors (see below), whose sum is σ = 10853650944. Its totient is φ = 1060076160.

The previous prime is 4202321177. The next prime is 4202321261. The reversal of 4202321214 is 4121232024.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150384 + ... + 176124.

It is an arithmetic number, because the mean of its divisors is an integer number (113058864).

Almost surely, 24202321214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4202321214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5426825472).

4202321214 is an abundant number, since it is smaller than the sum of its proper divisors (6651329730).

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

4202321214 is a wasteful number, since it uses less digits than its factorization.

4202321214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25802 (or 25789 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4202321214 is about 64825.3130651908. The cubic root of 4202321214 is about 1613.7258224877.

Adding to 4202321214 its reverse (4121232024), we get a palindrome (8323553238).

The spelling of 4202321214 in words is "four billion, two hundred two million, three hundred twenty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 69 78 91 138 161 169 182 273 299 322 338 483 507 546 598 897 966 1014 1183 1794 2093 2366 3549 3887 4186 6279 7098 7774 11661 12558 23322 25741 27209 51482 54418 77223 81627 154446 163254 180187 334633 360374 540561 592043 669266 1003899 1081122 1184086 1776129 2007798 2342431 3552258 4144301 4350229 4684862 7027293 7696559 8288602 8700458 12432903 13050687 14054586 15393118 23089677 24865806 26101374 30451603 46179354 53875913 60903206 91354809 100055267 107751826 161627739 182709618 200110534 300165801 323255478 600331602 700386869 1400773738 2101160607 4202321214