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216350640144 = 2433677474801
BaseRepresentation
bin1100100101111110000…
…0001100100000010000
3202200102211220021011000
43021133200030200100
512021041230441034
6243220133022000
721426241045542
oct3113740144020
9680384807130
10216350640144
1183832329141
1235b1b484900
131752b923a82
14a685849692
155963b2d599
hex325f80c810

216350640144 has 80 divisors (see below), whose sum is σ = 630275304640. Its totient is φ = 71040499200.

The previous prime is 216350640139. The next prime is 216350640151. The reversal of 216350640144 is 441046053612.

216350640144 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 5 + 0 + 640 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 216350640099 and 216350640108.

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, 3708457 + ... + 3766344.

It is an arithmetic number, because the mean of its divisors is an integer number (7878441308).

Almost surely, 2216350640144 is an apocalyptic number.

216350640144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

216350640144 is an abundant number, since it is smaller than the sum of its proper divisors (413924664496).

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

216350640144 is a wasteful number, since it uses less digits than its factorization.

216350640144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7474885 (or 7474873 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 216350640144 its reverse (441046053612), we get a palindrome (657396693756).

The spelling of 216350640144 in words is "two hundred sixteen billion, three hundred fifty million, six hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 108 134 144 201 216 268 402 432 536 603 804 1072 1206 1608 1809 2412 3216 3618 4824 7236 9648 14472 28944 7474801 14949602 22424403 29899204 44848806 59798408 67273209 89697612 119596816 134546418 179395224 201819627 269092836 358790448 403639254 500811667 538185672 807278508 1001623334 1076371344 1502435001 1614557016 2003246668 3004870002 3229114032 4006493336 4507305003 6009740004 8012986672 9014610006 12019480008 13521915009 18029220012 24038960016 27043830018 36058440024 54087660036 72116880048 108175320072 216350640144