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114366101328 = 24322271734961
BaseRepresentation
bin110101010000011000…
…0000011011101010000
3101221012100222220102200
41222200300003131100
53333210210220303
6124312234243200
711156045551563
oct1524060033520
9357170886380
10114366101328
1144558756716
121a1b8b86500
13aa27c2150b
14576cdd64da
152e955873a3
hex1aa0c03750

114366101328 has 60 divisors (see below), whose sum is σ = 320089486548. Its totient is φ = 38119265280.

The previous prime is 114366101327. The next prime is 114366101371. The reversal of 114366101328 is 823101663411.

114366101328 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 6 + 610 + 1 + 32 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42235182144 + 72130919184 = 205512^2 + 268572^2 .

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 = 114366101292 and 114366101301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114366101321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3253768 + ... + 3288728.

Almost surely, 2114366101328 is an apocalyptic number.

114366101328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114366101328 is an abundant number, since it is smaller than the sum of its proper divisors (205723385220).

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

114366101328 is a wasteful number, since it uses less digits than its factorization.

114366101328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57692 (or 57683 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 114366101328 its reverse (823101663411), we get a palindrome (937467764739).

The spelling of 114366101328 in words is "one hundred fourteen billion, three hundred sixty-six million, one hundred one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 22717 34961 45434 68151 69922 90868 104883 136302 139844 181736 204453 209766 272604 279688 314649 363472 408906 419532 545208 559376 629298 817812 839064 1090416 1258596 1635624 1678128 2517192 3271248 5034384 794209037 1588418074 2382627111 3176836148 4765254222 6353672296 7147881333 9530508444 12707344592 14295762666 19061016888 28591525332 38122033776 57183050664 114366101328