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214302404040 = 23353779472573
BaseRepresentation
bin1100011110010101101…
…0110010110111001000
3202111011002210002102120
43013211122302313020
512002342403412130
6242241004131240
721324420243654
oct3074532626710
9674132702376
10214302404040
118298113602a
1235649536b20
131729348b14a
14a52d7d5a64
155893ddd910
hex31e56b2dc8

214302404040 has 64 divisors (see below), whose sum is σ = 643078699200. Its totient is φ = 57132064512.

The previous prime is 214302404027. The next prime is 214302404131. The reversal of 214302404040 is 40404203412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 214302404040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217194 + ... + 689766.

It is an arithmetic number, because the mean of its divisors is an integer number (10048104675).

Almost surely, 2214302404040 is an apocalyptic number.

214302404040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214302404040 is an abundant number, since it is smaller than the sum of its proper divisors (428776295160).

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

214302404040 is a wasteful number, since it uses less digits than its factorization.

214302404040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476366 (or 476362 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 214302404040 its reverse (40404203412), we get a palindrome (254706607452).

The spelling of 214302404040 in words is "two hundred fourteen billion, three hundred two million, four hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3779 7558 11337 15116 18895 22674 30232 37790 45348 56685 75580 90696 113370 151160 226740 453480 472573 945146 1417719 1890292 2362865 2835438 3780584 4725730 5670876 7088595 9451460 11341752 14177190 18902920 28354380 56708760 1785853367 3571706734 5357560101 7143413468 8929266835 10715120202 14286826936 17858533670 21430240404 26787800505 35717067340 42860480808 53575601010 71434134680 107151202020 214302404040