Search a number
-
+
14160141435624 = 23323223704316333
BaseRepresentation
bin1100111000001110101000…
…1100110100001011101000
31212010200210121021202221220
43032003222030310023220
53323444432201414444
650041025033502040
72661015335163402
oct316035214641350
955120717252856
1014160141435624
11456a311760498
1217083b6871920
137b93ac5b1492
1436d4d6a7bb72
1519850eec7619
hexce0ea3342e8

14160141435624 has 128 divisors (see below), whose sum is σ = 37112687861760. Its totient is φ = 4493668531968.

The previous prime is 14160141435623. The next prime is 14160141435667. The reversal of 14160141435624 is 42653414106141.

It is not an unprimeable number, because it can be changed into a prime (14160141435623) 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, 866956962 + ... + 866973294.

It is an arithmetic number, because the mean of its divisors is an integer number (289942873920).

Almost surely, 214160141435624 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 14160141435624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18556343930880).

14160141435624 is an abundant number, since it is smaller than the sum of its proper divisors (22952546426136).

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

14160141435624 is a wasteful number, since it uses less digits than its factorization.

14160141435624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23631 (or 23627 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 14160141435624 in words is "fourteen trillion, one hundred sixty billion, one hundred forty-one million, four hundred thirty-five thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 223 276 446 552 669 892 1338 1784 2676 5129 5352 7043 10258 14086 15387 16333 20516 21129 28172 30774 32666 41032 42258 48999 56344 61548 65332 84516 97998 123096 130664 161989 169032 195996 323978 375659 391992 485967 647956 751318 971934 1126977 1295912 1502636 1570589 1943868 2253954 3005272 3141178 3642259 3887736 4507908 4711767 6282356 7284518 9015816 9423534 10926777 12564712 14569036 18847068 21853554 29138072 36123547 37694136 43707108 72247094 83771957 87414216 108370641 115033319 144494188 167543914 216741282 230066638 251315871 288988376 335087828 345099957 433482564 460133276 502631742 670175656 690199914 866965128 920266552 1005263484 1380399828 2010526968 2645766337 2760799656 5291532674 7937299011 10583065348 15874598022 21166130696 25652430137 31749196044 51304860274 63498392088 76957290411 102609720548 153914580822 205219441096 307829161644 590005893151 615658323288 1180011786302 1770017679453 2360023572604 3540035358906 4720047145208 7080070717812 14160141435624