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14202054540 = 2233552350287
BaseRepresentation
bin11010011101000001…
…00010011110001100
31100122202200010022000
431032200202132030
5213041211221130
610305131152300
71011640320552
oct151640423614
940582603260
1014202054540
116028764863
1229042a5690
13145443538b
1498a271bd2
15581c46260
hex34e82278c

14202054540 has 96 divisors (see below), whose sum is σ = 44269532160. Its totient is φ = 3779898048.

The previous prime is 14202054523. The next prime is 14202054557. The reversal of 14202054540 is 4545020241.

14202054540 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 205 + 454 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14202054523) and next prime (14202054557).

It is a super-2 number, since 2×142020545402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257277 + ... + 307563.

It is an arithmetic number, because the mean of its divisors is an integer number (461140960).

Almost surely, 214202054540 is an apocalyptic number.

14202054540 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 14202054540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22134766080).

14202054540 is an abundant number, since it is smaller than the sum of its proper divisors (30067477620).

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

14202054540 is a wasteful number, since it uses less digits than its factorization.

14202054540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50828 (or 50820 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 14202054540 its reverse (4545020241), we get a palindrome (18747074781).

The spelling of 14202054540 in words is "fourteen billion, two hundred two million, fifty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 523 540 1046 1569 2092 2615 3138 4707 5230 6276 7845 9414 10460 14121 15690 18828 23535 28242 31380 47070 50287 56484 70605 94140 100574 141210 150861 201148 251435 282420 301722 452583 502870 603444 754305 905166 1005740 1357749 1508610 1810332 2262915 2715498 3017220 4525830 5430996 6788745 9051660 13577490 26300101 27154980 52600202 78900303 105200404 131500505 157800606 236700909 263001010 315601212 394501515 473401818 526002020 710102727 789003030 946803636 1183504545 1420205454 1578006060 2367009090 2840410908 3550513635 4734018180 7101027270 14202054540