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4431314442104 = 2311373174798963
BaseRepresentation
bin100000001111011111011…
…1011000101011101111000
3120200121222220220112212222
41000132332323011131320
51040100312444121404
613231415011223212
7635103050163524
oct100367673053570
916617886815788
104431314442104
111459345529890
125b699a2a7b08
13261b42c22554
1411469634ad84
157a406ac1dbe
hex407beec5778

4431314442104 has 128 divisors (see below), whose sum is σ = 9358932326400. Its totient is φ = 1949316733440.

The previous prime is 4431314442103. The next prime is 4431314442143. The reversal of 4431314442104 is 4012444131344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4431314442103) 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, 494396327 + ... + 494405289.

It is an arithmetic number, because the mean of its divisors is an integer number (73116658800).

Almost surely, 24431314442104 is an apocalyptic number.

4431314442104 is a gapful number since it is divisible by the number (44) 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 4431314442104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4679466163200).

4431314442104 is an abundant number, since it is smaller than the sum of its proper divisors (4927617884296).

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

4431314442104 is a wasteful number, since it uses less digits than its factorization.

4431314442104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9813 (or 9809 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 4431314442104 its reverse (4012444131344), we get a palindrome (8443758573448).

The spelling of 4431314442104 in words is "four trillion, four hundred thirty-one billion, three hundred fourteen million, four hundred forty-two thousand, one hundred four".

Divisors: 1 2 4 8 11 22 37 44 74 88 148 296 317 407 479 634 814 958 1268 1628 1916 2536 3256 3487 3832 5269 6974 8963 10538 11729 13948 17723 17926 21076 23458 27896 35446 35852 42152 46916 70892 71704 93832 98593 129019 141784 151843 194953 197186 258038 303686 331631 389906 394372 516076 607372 663262 779812 788744 1032152 1214744 1326524 1559624 1670273 2653048 2841271 3340546 3647941 4293277 5618191 5682542 6681092 7295882 8586554 11236382 11365084 13362184 14591764 17173108 22472764 22730168 29183528 31253981 34346216 44945528 47226047 61800101 62507962 94452094 105127027 123600202 125015924 158851249 188904188 210254054 247200404 250031848 317702498 377808376 420508108 494400808 635404996 841016216 1156397297 1270809992 1360968809 1747363739 2312794594 2721937618 3494727478 4625589188 5443875236 6989454956 9251178376 10887750472 13978909912 14970656899 29941313798 50355845933 59882627596 100711691866 119765255192 201423383732 402846767464 553914305263 1107828610526 2215657221052 4431314442104