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1234218790116 = 2232132142432
BaseRepresentation
bin10001111101011101001…
…011000010110011100100
311100222201211101202102100
4101331131023002303210
5130210140002240431
62342554200012100
7155112043422354
oct21753513026344
94328654352370
101234218790116
1143647a370624
1217b249461030
138c503a07300
1443a44d9ab64
1522188da64e6
hex11f5d2c2ce4

1234218790116 has 81 divisors (see below), whose sum is σ = 3378515560329. Its totient is φ = 379732964832.

The previous prime is 1234218790031. The next prime is 1234218790153. The reversal of 1234218790116 is 6110978124321.

The square root of 1234218790116 is 1110954.

It is a perfect power (a square), and thus also a powerful number.

1234218790116 is a `hidden beast` number, since 1 + 23 + 421 + 8 + 7 + 90 + 116 = 666.

It can be written as a sum of positive squares in only one way, i.e., 182576744100 + 1051642046016 = 427290^2 + 1025496^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 86647291 + ... + 86661533.

Almost surely, 21234218790116 is an apocalyptic number.

1234218790116 is the 1110954-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1234218790116

1234218790116 is an abundant number, since it is smaller than the sum of its proper divisors (2144296770213).

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

1234218790116 is an equidigital number, since it uses as much as digits as its factorization.

1234218790116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28522 (or 14261 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 1234218790116 in words is "one trillion, two hundred thirty-four billion, two hundred eighteen million, seven hundred ninety thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 14243 28486 42729 56972 85458 128187 170916 185159 256374 370318 512748 555477 740636 1110954 1666431 2221908 2407067 3332862 4814134 6665724 7221201 9628268 14442402 21663603 28884804 43327206 86654412 202863049 405726098 608589147 811452196 1217178294 1825767441 2434356588 2637219637 3651534882 5274439274 7303069764 7911658911 10548878548 15823317822 23734976733 31646635644 34283855281 47469953466 68567710562 94939906932 102851565843 137135421124 205703131686 308554697529 411406263372 617109395058 1234218790116