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214320511340 = 225132928424471
BaseRepresentation
bin1100011110011001111…
…1110111100101101100
3202111012100212000222022
43013212133313211230
512002412022330330
6242242452205312
721325030200635
oct3074637674554
9674170760868
10214320511340
1182990383341
1235653609838
131729715ac20
14a531d8a88c
1558957b8ae5
hex31e67f796c

214320511340 has 48 divisors (see below), whose sum is σ = 501407686080. Its totient is φ = 76404975360.

The previous prime is 214320511259. The next prime is 214320511367. The reversal of 214320511340 is 43115023412.

It is a happy number.

It is a super-3 number, since 3×2143205113403 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 14204696 + ... + 14219775.

It is an arithmetic number, because the mean of its divisors is an integer number (10445993460).

Almost surely, 2214320511340 is an apocalyptic number.

214320511340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214320511340 is an abundant number, since it is smaller than the sum of its proper divisors (287087174740).

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

214320511340 is a wasteful number, since it uses less digits than its factorization.

214320511340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28424522 (or 28424520 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 214320511340 its reverse (43115023412), we get a palindrome (257435534752).

The spelling of 214320511340 in words is "two hundred fourteen billion, three hundred twenty million, five hundred eleven thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1508 1885 3770 7540 28424471 56848942 113697884 142122355 284244710 369518123 568489420 739036246 824309659 1478072492 1648619318 1847590615 3297238636 3695181230 4121548295 7390362460 8243096590 10716025567 16486193180 21432051134 42864102268 53580127835 107160255670 214320511340