Search a number
-
+
14213411000264 = 2379714917561123
BaseRepresentation
bin1100111011010101000101…
…0100000100111111001000
31212022210022001101001002102
43032311101110010333020
53330333031204002024
650121314553252532
72664612401050520
oct316652124047710
955283261331072
1014213411000264
11458a967a6a883
1217167a2704148
137c141b838328
14371d0b704680
15199acb90c1ae
hexced51504fc8

14213411000264 has 64 divisors (see below), whose sum is σ = 30977822736000. Its totient is φ = 5988202113024.

The previous prime is 14213411000263. The next prime is 14213411000311. The reversal of 14213411000264 is 46200011431241.

It is not an unprimeable number, because it can be changed into a prime (14213411000263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7971194 + ... + 9589929.

It is an arithmetic number, because the mean of its divisors is an integer number (484028480250).

Almost surely, 214213411000264 is an apocalyptic number.

14213411000264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14213411000264 is an abundant number, since it is smaller than the sum of its proper divisors (16764411735736).

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

14213411000264 is a wasteful number, since it uses less digits than its factorization.

14213411000264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17561382 (or 17561378 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 14213411000264 in words is "fourteen trillion, two hundred thirteen billion, four hundred eleven million, two hundred sixty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 28 56 97 149 194 298 388 596 679 776 1043 1192 1358 2086 2716 4172 5432 8344 14453 28906 57812 101171 115624 202342 404684 809368 17561123 35122246 70244492 122927861 140488984 245855722 491711444 983422888 1703428931 2616607327 3406857862 5233214654 6813715724 10466429308 11924002517 13627431448 18316251289 20932858616 23848005034 36632502578 47696010068 73265005156 95392020136 146530010312 253810910719 507621821438 1015243642876 1776676375033 2030487285752 3553352750066 7106705500132 14213411000264