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1130400333024 = 25337318243337
BaseRepresentation
bin10000011100110001000…
…111000011110011100000
311000001202112122200202220
4100130301013003303200
5122010024441124044
62223144310111040
7144445242203034
oct20346107036340
94001675580686
101130400333024
113a6444578166
121630b494b480
138279a09a401
143c9d6b621c4
151e60e807019
hex107311c3ce0

1130400333024 has 48 divisors (see below), whose sum is σ = 3047498204688. Its totient is φ = 366616323072.

The previous prime is 1130400332969. The next prime is 1130400333031. The reversal of 1130400333024 is 4203330040311.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×11304003330243 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1130400332985 and 1130400333003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159118117 + ... + 159125220.

It is an arithmetic number, because the mean of its divisors is an integer number (63489545931).

Almost surely, 21130400333024 is an apocalyptic number.

It is an amenable number.

1130400333024 is an abundant number, since it is smaller than the sum of its proper divisors (1917097871664).

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

1130400333024 is a wasteful number, since it uses less digits than its factorization.

1130400333024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318243387 (or 318243379 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 1130400333024 its reverse (4203330040311), we get a palindrome (5333730373335).

The spelling of 1130400333024 in words is "one trillion, one hundred thirty billion, four hundred million, three hundred thirty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 318243337 636486674 954730011 1272973348 1909460022 2545946696 3818920044 5091893392 7637840088 10183786784 11775003469 15275680176 23550006938 30551360352 35325010407 47100013876 70650020814 94200027752 141300041628 188400055504 282600083256 376800111008 565200166512 1130400333024