Search a number
-
+
14535414540 = 22325312604913
BaseRepresentation
bin11011000100110000…
…01101001100001100
31101111222221120020200
431202120031030030
5214232031231130
610402200213500
71023125661603
oct154230151414
941458846220
1014535414540
116189954099
122997a6a290
1314a851360a
149bc64aa3a
155a1144760
hex36260d30c

14535414540 has 72 divisors (see below), whose sum is σ = 45513057408. Its totient is φ = 3751073280.

The previous prime is 14535414521. The next prime is 14535414547. The reversal of 14535414540 is 4541453541.

14535414540 is a `hidden beast` number, since 1 + 4 + 53 + 54 + 14 + 540 = 666.

It is a super-2 number, since 2×145354145402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14535414495 and 14535414504.

It is not an unprimeable number, because it can be changed into a prime (14535414547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1296877 + ... + 1308036.

Almost surely, 214535414540 is an apocalyptic number.

14535414540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14535414540 is an abundant number, since it is smaller than the sum of its proper divisors (30977642868).

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

14535414540 is a wasteful number, since it uses less digits than its factorization.

14535414540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2604959 (or 2604954 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 14535414540 in words is "fourteen billion, five hundred thirty-five million, four hundred fourteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 2604913 5209826 7814739 10419652 13024565 15629478 23444217 26049130 31258956 39073695 46888434 52098260 78147390 80752303 93776868 117221085 156294780 161504606 234442170 242256909 323009212 403761515 468884340 484513818 726770727 807523030 969027636 1211284545 1453541454 1615046060 2422569090 2907082908 3633853635 4845138180 7267707270 14535414540