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213014244432 = 24311403436069
BaseRepresentation
bin1100011001100010100…
…0110110110001010000
3202100211022212210122110
43012120220312301100
511442223121310212
6241505110305320
721250456126413
oct3063050666120
9670738783573
10213014244432
118237aa95710
123534a058240
131711963a622
14a44a6b7b7a
15581ac8ba3c
hex3198a36c50

213014244432 has 40 divisors (see below), whose sum is σ = 600312872160. Its totient is φ = 64549770880.

The previous prime is 213014244397. The next prime is 213014244433. The reversal of 213014244432 is 234442410312.

It is a self number, because there is not a number n which added to its sum of digits gives 213014244432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213014244433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201717507 + ... + 201718562.

It is an arithmetic number, because the mean of its divisors is an integer number (15007821804).

Almost surely, 2213014244432 is an apocalyptic number.

213014244432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213014244432 is an abundant number, since it is smaller than the sum of its proper divisors (387298627728).

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

213014244432 is a wasteful number, since it uses less digits than its factorization.

213014244432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403436091 (or 403436085 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 213014244432 its reverse (234442410312), we get a palindrome (447456654744).

It can be divided in two parts, 213014 and 244432, that added together give a triangular number (457446 = T956).

The spelling of 213014244432 in words is "two hundred thirteen billion, fourteen million, two hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 403436069 806872138 1210308207 1613744276 2420616414 3227488552 4437796759 4841232828 6454977104 8875593518 9682465656 13313390277 17751187036 19364931312 26626780554 35502374072 53253561108 71004748144 106507122216 213014244432