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1334376143104 = 28232432732
BaseRepresentation
bin10011011010101111000…
…001000001100100000000
311201120020222010110101111
4103122233001001210000
5133330300243034404
62501000503413104
7165256041034054
oct23325701014400
94646228113344
101334376143104
114749a6600314
1219673ba54194
1398aa5cbb714
1448826c9bc64
1524a9bd24104
hex136af041900

1334376143104 has 243 divisors, whose sum is σ = 2890224731457. Its totient is φ = 614799618048.

The previous prime is 1334376143047. The next prime is 1334376143123. The reversal of 1334376143104 is 4013416734331.

The square root of 1334376143104 is 1155152.

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

It can be written as a sum of positive squares in only one way, i.e., 757456902400 + 576919240704 = 870320^2 + 759552^2 .

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, 18279125212 + ... + 18279125284.

Almost surely, 21334376143104 is an apocalyptic number.

1334376143104 is the 1155152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1334376143104

1334376143104 is an abundant number, since it is smaller than the sum of its proper divisors (1555848588353).

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

1334376143104 is an frugal number, since it uses more digits than its factorization.

1334376143104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

The spelling of 1334376143104 in words is "one trillion, three hundred thirty-four billion, three hundred seventy-six million, one hundred forty-three thousand, one hundred four".