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214403031344 = 24232432512347
BaseRepresentation
bin1100011110101101101…
…0101010000100110000
3202111102010010111010202
43013223122222010300
512003044134000334
6242255001014332
721330051461015
oct3075332520460
9674363114122
10214403031344
1182a22a15897
12356771843a8
13172ab291328
14a53cd0b70c
15589cb6917e
hex31eb6aa130

214403031344 has 120 divisors (see below), whose sum is σ = 446311559232. Its totient is φ = 99714384000.

The previous prime is 214403031343. The next prime is 214403031347. The reversal of 214403031344 is 443130304412.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (214403031343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91350779 + ... + 91353125.

Almost surely, 2214403031344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214403031344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223155779616).

214403031344 is an abundant number, since it is smaller than the sum of its proper divisors (231908527888).

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

214403031344 is a wasteful number, since it uses less digits than its factorization.

214403031344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 214403031344 its reverse (443130304412), we get a palindrome (657533335756).

The spelling of 214403031344 in words is "two hundred fourteen billion, four hundred three million, thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 23 43 46 86 92 172 184 251 344 368 502 529 688 989 1004 1058 1978 2008 2116 2347 3956 4016 4232 4694 5773 7912 8464 9388 10793 11546 15824 18776 21586 22747 23092 37552 43172 45494 46184 53981 86344 90988 92368 100921 107962 132779 172688 181976 201842 215924 248239 265558 363952 403684 431848 496478 531116 589097 807368 863696 992956 1062232 1178194 1241563 1614736 1985912 2124464 2321183 2356388 2483126 3971824 4642366 4712776 4966252 5709497 9284732 9425552 9932504 11418994 13549231 18569464 19865008 22837988 25331171 27098462 37138928 45675976 50662342 53387209 54196924 91351952 101324684 106774418 108393848 202649368 213548836 216787696 311632313 405298736 427097672 582616933 623264626 854195344 1165233866 1246529252 2330467732 2493058504 4660935464 4986117008 9321870928 13400189459 26800378918 53600757836 107201515672 214403031344