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114363006976 = 21613212
BaseRepresentation
bin110101010000010010…
…0010000000000000000
3101221012011011200210001
41222200210100000000
53333203412210401
6124312044045344
711156010343261
oct1524044200000
9357164150701
10114363006976
1144556a328a9
121a1b7b33854
13aa273a9c3a
14576c82c968
152e95175601
hex1aa0910000

114363006976 has 51 divisors (see below), whose sum is σ = 228897544773. Its totient is φ = 57138216960.

The previous prime is 114363006941. The next prime is 114363006977. The reversal of 114363006976 is 679600363411.

The square root of 114363006976 is 338176.

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., 105869541376 + 8493465600 = 325376^2 + 92160^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114363006977) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 86572396 + ... + 86573716.

Almost surely, 2114363006976 is an apocalyptic number.

114363006976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

114363006976 is the 338176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114363006976

114363006976 is an abundant number, since it is smaller than the sum of its proper divisors (114534537797).

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

114363006976 is an frugal number, since it uses more digits than its factorization.

114363006976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2674 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 46.

The spelling of 114363006976 in words is "one hundred fourteen billion, three hundred sixty-three million, six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1321 2048 2642 4096 5284 8192 10568 16384 21136 32768 42272 65536 84544 169088 338176 676352 1352704 1745041 2705408 3490082 5410816 6980164 10821632 13960328 21643264 27920656 43286528 55841312 86573056 111682624 223365248 446730496 893460992 1786921984 3573843968 7147687936 14295375872 28590751744 57181503488 114363006976