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215132314440 = 23354341692309
BaseRepresentation
bin1100100001011011100…
…0101001101101001000
3202120021221101220110210
43020112320221231020
512011042333030230
6242455212041120
721354115333551
oct3102670515510
9676257356423
10215132314440
1183267645a9a
123583b4631a0
13173963b42a4
14a5abb09328
1558e1bc2eb0
hex3216e29b48

215132314440 has 64 divisors (see below), whose sum is σ = 660406190400. Its totient is φ = 56034461952.

The previous prime is 215132314427. The next prime is 215132314451. The reversal of 215132314440 is 44413231512.

It is a super-2 number, since 2×2151323144402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 215132314398 and 215132314407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20840995 + ... + 20851314.

It is an arithmetic number, because the mean of its divisors is an integer number (10318846725).

Almost surely, 2215132314440 is an apocalyptic number.

215132314440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215132314440 is an abundant number, since it is smaller than the sum of its proper divisors (445273875960).

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

215132314440 is a wasteful number, since it uses less digits than its factorization.

215132314440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41692366 (or 41692362 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 215132314440 its reverse (44413231512), we get a palindrome (259545545952).

The spelling of 215132314440 in words is "two hundred fifteen billion, one hundred thirty-two million, three hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 41692309 83384618 125076927 166769236 208461545 250153854 333538472 416923090 500307708 625384635 833846180 1000615416 1250769270 1667692360 1792769287 2501538540 3585538574 5003077080 5378307861 7171077148 8963846435 10756615722 14342154296 17927692870 21513231444 26891539305 35855385740 43026462888 53783078610 71710771480 107566157220 215132314440