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214997148432 = 243211135730523
BaseRepresentation
bin1100100000111011010…
…1000010001100010000
3202112221112001202120100
43020032311002030100
512010303232222212
6242433543012400
721350554415553
oct3101665021420
9675845052510
10214997148432
11831a8315850
123580213a100
13173743aa2c1
14a597ba269a
1558d4dc3bdc
hex320ed42310

214997148432 has 60 divisors (see below), whose sum is σ = 656392814064. Its totient is φ = 65150650560.

The previous prime is 214997148419. The next prime is 214997148439. The reversal of 214997148432 is 234841799412.

214997148432 is a `hidden beast` number, since 2 + 1 + 4 + 99 + 71 + 484 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (214997148439) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67863678 + ... + 67866845.

Almost surely, 2214997148432 is an apocalyptic number.

214997148432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214997148432 is an abundant number, since it is smaller than the sum of its proper divisors (441395665632).

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

214997148432 is a wasteful number, since it uses less digits than its factorization.

214997148432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135730548 (or 135730539 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 214997148432 in words is "two hundred fourteen billion, nine hundred ninety-seven million, one hundred forty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 135730523 271461046 407191569 542922092 814383138 1085844184 1221574707 1493035753 1628766276 2171688368 2443149414 2986071506 3257532552 4479107259 4886298828 5972143012 6515065104 8958214518 9772597656 11944286024 13437321777 17916429036 19545195312 23888572048 26874643554 35832858072 53749287108 71665716144 107498574216 214997148432