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214211232040 = 23513494383339
BaseRepresentation
bin1100011101111111111…
…1000000000100101000
3202110220202020001221211
43013133333000010220
512002201033411130
6242223550042504
721322232300251
oct3073777000450
9673822201854
10214211232040
1182934724173
1235622aa9434
131727a618910
14a521661b28
15588adcea2a
hex31dffc0128

214211232040 has 64 divisors (see below), whose sum is σ = 519161529600. Its totient is φ = 79076428032.

The previous prime is 214211232031. The next prime is 214211232071. The reversal of 214211232040 is 40232112412.

214211232040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2528691 + ... + 2612029.

It is an arithmetic number, because the mean of its divisors is an integer number (8111898900).

Almost surely, 2214211232040 is an apocalyptic number.

214211232040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214211232040 is an abundant number, since it is smaller than the sum of its proper divisors (304950297560).

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

214211232040 is a wasteful number, since it uses less digits than its factorization.

214211232040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88306 (or 88302 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 214211232040 its reverse (40232112412), we get a palindrome (254443344452).

The spelling of 214211232040 in words is "two hundred fourteen billion, two hundred eleven million, two hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 4943 9886 19772 24715 39544 49430 64259 83339 98860 128518 166678 197720 257036 321295 333356 416695 514072 642590 666712 833390 1083407 1285180 1666780 2166814 2570360 3333560 4333628 5417035 8667256 10834070 21668140 43336280 411944677 823889354 1647778708 2059723385 3295557416 4119446770 5355280801 8238893540 10710561602 16477787080 21421123204 26776404005 42842246408 53552808010 107105616020 214211232040