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14535222640 = 2457912771801
BaseRepresentation
bin11011000100101110…
…11110010101110000
31101111222120211000021
431202113132111300
5214232004111030
610402152133224
71023124232251
oct154227362560
941458524007
1014535222640
1161898329a4
122997997214
1314a8477173
149bc5dab28
155a110797a
hex3625de570

14535222640 has 80 divisors (see below), whose sum is σ = 34267985280. Its totient is φ = 5732812800.

The previous prime is 14535222631. The next prime is 14535222641. The reversal of 14535222640 is 4622253541.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×145352226402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14535222596 and 14535222605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14535222641) 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, 8069740 + ... + 8071540.

It is an arithmetic number, because the mean of its divisors is an integer number (428349816).

Almost surely, 214535222640 is an apocalyptic number.

14535222640 is a gapful number since it is divisible by the number (10) 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 14535222640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17133992640).

14535222640 is an abundant number, since it is smaller than the sum of its proper divisors (19732762640).

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

14535222640 is a wasteful number, since it uses less digits than its factorization.

14535222640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3170 (or 3164 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 14535222640 in words is "fourteen billion, five hundred thirty-five million, two hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 790 1264 1277 1580 1801 2554 3160 3602 5108 6320 6385 7204 9005 10216 12770 14408 18010 20432 25540 28816 36020 51080 72040 100883 102160 142279 144080 201766 284558 403532 504415 569116 711395 807064 1008830 1138232 1422790 1614128 2017660 2276464 2299877 2845580 4035320 4599754 5691160 8070640 9199508 11382320 11499385 18399016 22998770 36798032 45997540 91995080 181690283 183990160 363380566 726761132 908451415 1453522264 1816902830 2907044528 3633805660 7267611320 14535222640