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214024310412 = 2231141104937699
BaseRepresentation
bin1100011101010011010…
…1111100111010001100
3202110102201111110200120
43013110311330322030
512001310210413122
6242153231424540
721314502423243
oct3072465747214
9673381443616
10214024310412
1182849164190
1235590385150
131724a9903c3
14a5048c595a
1558797aa75c
hex31d4d7ce8c

214024310412 has 96 divisors (see below), whose sum is σ = 558623520000. Its totient is φ = 63212006400.

The previous prime is 214024310363. The next prime is 214024310449. The reversal of 214024310412 is 214013420412.

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, 5658339 + ... + 5696037.

It is an arithmetic number, because the mean of its divisors is an integer number (5818995000).

Almost surely, 2214024310412 is an apocalyptic number.

214024310412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214024310412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279311760000).

214024310412 is an abundant number, since it is smaller than the sum of its proper divisors (344599209588).

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

214024310412 is a wasteful number, since it uses less digits than its factorization.

214024310412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38807 (or 38805 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 214024310412 its reverse (214013420412), we get a palindrome (428037730824).

Subtracting from 214024310412 its reverse (214013420412), we obtain a square (10890000 = 33002).

The spelling of 214024310412 in words is "two hundred fourteen billion, twenty-four million, three hundred ten thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1049 1353 1804 2098 2706 3147 4196 5412 6294 11539 12588 23078 34617 37699 43009 46156 69234 75398 86018 113097 129027 138468 150796 172036 226194 258054 414689 452388 473099 516108 829378 946198 1244067 1419297 1545659 1658756 1892396 2488134 2838594 3091318 4636977 4976268 5677188 6182636 9273954 17002249 18547908 34004498 39546251 51006747 68008996 79092502 102013494 118638753 158185004 204026988 237277506 435008761 474555012 870017522 1305026283 1621396291 1740035044 2610052566 3242792582 4864188873 5220105132 6485585164 9728377746 17835359201 19456755492 35670718402 53506077603 71341436804 107012155206 214024310412