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214351151432 = 231131205338273
BaseRepresentation
bin1100011110100001010…
…0110000000101001000
3202111021111111201021112
43013220110300011020
512002442343321212
6242245505025452
721325551503435
oct3075024600510
9674244451245
10214351151432
11829a6700730
1235661925288
13172a05c8362
14a536084b8c
15589831c422
hex31e8530148

214351151432 has 64 divisors (see below), whose sum is σ = 452821224960. Its totient is φ = 94240972800.

The previous prime is 214351151429. The next prime is 214351151447. The reversal of 214351151432 is 234151153412.

It is a super-2 number, since 2×2143511514322 (a number of 23 digits) contains 22 as substring.

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, 5581448 + ... + 5619720.

It is an arithmetic number, because the mean of its divisors is an integer number (7075331640).

Almost surely, 2214351151432 is an apocalyptic number.

214351151432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214351151432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226410612480).

214351151432 is an abundant number, since it is smaller than the sum of its proper divisors (238470073528).

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

214351151432 is a wasteful number, since it uses less digits than its factorization.

214351151432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40374 (or 40370 counting only the distinct ones).

The product of its digits is 14400, while the sum is 32.

The spelling of 214351151432 in words is "two hundred fourteen billion, three hundred fifty-one million, one hundred fifty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 682 1364 2053 2728 4106 8212 16424 22583 38273 45166 63643 76546 90332 127286 153092 180664 254572 306184 421003 509144 700073 842006 1186463 1400146 1684012 2372926 2800292 3368024 4745852 5600584 9491704 13051093 26102186 52204372 78574469 104408744 157148938 314297876 628595752 864319159 1728638318 2435808539 3457276636 4871617078 6914553272 9743234156 19486468312 26793893929 53587787858 107175575716 214351151432