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113333142144 = 273793735929
BaseRepresentation
bin110100110001100101…
…1101000001010000000
3101211112101022010211010
41221203023220022000
53324101241022034
6124021534320520
711121333546015
oct1514313501200
9354471263733
10113333142144
1144078671142
1219b6b059140
13a8c1c14471
1456b1b4970c
152e34a453e9
hex1a632e8280

113333142144 has 64 divisors (see below), whose sum is σ = 304851888000. Its totient is φ = 37299505152.

The previous prime is 113333142133. The next prime is 113333142151. The reversal of 113333142144 is 441241333311.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1133331421442 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1837629 + ... + 1898300.

It is an arithmetic number, because the mean of its divisors is an integer number (4763310750).

Almost surely, 2113333142144 is an apocalyptic number.

It is an amenable number.

113333142144 is an abundant number, since it is smaller than the sum of its proper divisors (191518745856).

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

113333142144 is an equidigital number, since it uses as much as digits as its factorization.

113333142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3736025 (or 3736013 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

Adding to 113333142144 its reverse (441241333311), we get a palindrome (554574475455).

The spelling of 113333142144 in words is "one hundred thirteen billion, three hundred thirty-three million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 316 384 474 632 948 1264 1896 2528 3792 5056 7584 10112 15168 30336 3735929 7471858 11207787 14943716 22415574 29887432 44831148 59774864 89662296 119549728 179324592 239099456 295138391 358649184 478198912 590276782 717298368 885415173 1180553564 1434596736 1770830346 2361107128 3541660692 4722214256 7083321384 9444428512 14166642768 18888857024 28333285536 37777714048 56666571072 113333142144