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214456142340 = 2232511108311183
BaseRepresentation
bin1100011110111010010…
…1010000101000000100
3202111112211001210201200
43013232211100220010
512003201233023330
6242304135222500
721331265063406
oct3075645205004
9674484053650
10214456142340
1182a4a9a0980
1235690b17a30
13172b929875b
14a545db4b76
1558a265aa60
hex31ee950a04

214456142340 has 72 divisors (see below), whose sum is σ = 709654877568. Its totient is φ = 51989367360.

The previous prime is 214456142333. The next prime is 214456142393. The reversal of 214456142340 is 43241654412.

214456142340 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 5 + 614 + 2 + 34 + 0 = 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 = 214456142295 and 214456142304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54153612 + ... + 54157571.

It is an arithmetic number, because the mean of its divisors is an integer number (9856317744).

Almost surely, 2214456142340 is an apocalyptic number.

214456142340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214456142340 is an abundant number, since it is smaller than the sum of its proper divisors (495198735228).

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

214456142340 is a wasteful number, since it uses less digits than its factorization.

214456142340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108311209 (or 108311204 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 214456142340 its reverse (43241654412), we get a palindrome (257697796752).

The spelling of 214456142340 in words is "two hundred fourteen billion, four hundred fifty-six million, one hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 108311183 216622366 324933549 433244732 541555915 649867098 974800647 1083111830 1191423013 1299734196 1624667745 1949601294 2166223660 2382846026 3249335490 3574269039 3899202588 4765692052 4874003235 5957115065 6498670980 7148538078 9748006470 10722807117 11914230130 14297076156 17871345195 19496012940 21445614234 23828460260 35742690390 42891228468 53614035585 71485380780 107228071170 214456142340