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2132414040420 = 2232561194208929
BaseRepresentation
bin11111000001111101110…
…010000000100101100100
321112212010121020001111100
4133001331302000211210
5234414140443243140
64311341213240100
7310030131164106
oct37017562004544
97485117201440
102132414040420
11752396152244
122a5339193030
131261165cc491
14752d07d1576
153a707c3c530
hex1f07dc80964

2132414040420 has 72 divisors (see below), whose sum is σ = 6574360698360. Its totient is φ = 559321712640.

The previous prime is 2132414040409. The next prime is 2132414040431. The reversal of 2132414040420 is 240404142312.

2132414040420 is a `hidden beast` number, since 2 + 13 + 241 + 4 + 0 + 404 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2132414040409) and next prime (2132414040431).

It can be written as a sum of positive squares in 4 ways, for example, as 3289481316 + 2129124559104 = 57354^2 + 1459152^2 .

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 23 ways as a sum of consecutive naturals, for example, 97093485 + ... + 97115444.

It is an arithmetic number, because the mean of its divisors is an integer number (91310565255).

Almost surely, 22132414040420 is an apocalyptic number.

2132414040420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132414040420 is an abundant number, since it is smaller than the sum of its proper divisors (4441946657940).

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

2132414040420 is a wasteful number, since it uses less digits than its factorization.

2132414040420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194209005 (or 194209000 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2132414040420 its reverse (240404142312), we get a palindrome (2372818182732).

The spelling of 2132414040420 in words is "two trillion, one hundred thirty-two billion, four hundred fourteen million, forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 10980 194208929 388417858 582626787 776835716 971044645 1165253574 1747880361 1942089290 2330507148 2913133935 3495760722 3884178580 5826267870 6991521444 8739401805 11652535740 11846744669 17478803610 23693489338 34957607220 35540234007 47386978676 59233723345 71080468014 106620702021 118467446690 142160936028 177701170035 213241404042 236934893380 355402340070 426482808084 533103510105 710804680140 1066207020210 2132414040420