Search a number
-
+
4010400244444 = 221117191312154077
BaseRepresentation
bin111010010110111110011…
…110110110001011011100
3112012101112200120212012211
4322112332132312023130
51011201244430310234
612310204043210204
7562512312425356
oct72267636661334
915171480525184
104010400244444
11130688a429210
125492aab16964
132312436b1829
14dc1666cc0d6
156e4be079164
hex3a5be7b62dc

4010400244444 has 96 divisors (see below), whose sum is σ = 8598390071040. Its totient is φ = 1612972108800.

The previous prime is 4010400244399. The next prime is 4010400244447. The reversal of 4010400244444 is 4444420040104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4010400244447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 784734 + ... + 2938810.

It is an arithmetic number, because the mean of its divisors is an integer number (89566563240).

Almost surely, 24010400244444 is an apocalyptic number.

4010400244444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4010400244444 is an abundant number, since it is smaller than the sum of its proper divisors (4587989826596).

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

4010400244444 is a wasteful number, since it uses less digits than its factorization.

4010400244444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154259 (or 2154257 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 31.

Adding to 4010400244444 its reverse (4444420040104), we get a palindrome (8454820284548).

The spelling of 4010400244444 in words is "four trillion, ten billion, four hundred million, two hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 4 11 17 19 22 34 38 44 68 76 131 187 209 262 323 374 418 524 646 748 836 1292 1441 2227 2489 2882 3553 4454 4978 5764 7106 8908 9956 14212 24497 27379 42313 48994 54758 84626 97988 109516 169252 465443 930886 1861772 2154077 4308154 8616308 23694847 36619309 40927463 47389694 73238618 81854926 94779388 146477236 163709852 282184087 402812399 450202093 564368174 695766871 805624798 900404186 1128736348 1391533742 1611249596 1800808372 2783067484 3104024957 4797129479 5361497653 6208049914 7653435581 9594258958 10722995306 12416099828 15306871162 19188517916 21445990612 30613742324 52768424269 58976474183 91145460101 105536848538 117952948366 182290920202 211073697076 235905896732 364581840404 1002600061111 2005200122222 4010400244444