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33140133324 = 22324012295659
BaseRepresentation
bin11110110111010011…
…100100110111001100
310011112121000012111100
4132313103210313030
51020332333231244
623120244023100
72252146325334
oct366723446714
9104477005440
1033140133324
1113066817741
12650a691a90
133181b0255c
1418654cc0c4
15cde64db69
hex7b74e4dcc

33140133324 has 36 divisors (see below), whose sum is σ = 83979834120. Its totient is φ = 11019158400.

The previous prime is 33140133307. The next prime is 33140133331. The reversal of 33140133324 is 42333104133.

33140133324 is a `hidden beast` number, since 3 + 314 + 0 + 13 + 332 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1133394 + ... + 1162265.

It is an arithmetic number, because the mean of its divisors is an integer number (2332773170).

Almost surely, 233140133324 is an apocalyptic number.

It is an amenable number.

33140133324 is an abundant number, since it is smaller than the sum of its proper divisors (50839700796).

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

33140133324 is a wasteful number, since it uses less digits than its factorization.

33140133324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296070 (or 2296065 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 33140133324 its reverse (42333104133), we get a palindrome (75473237457).

It can be divided in two parts, 33140 and 133324, that added together give a square (166464 = 4082).

The spelling of 33140133324 in words is "thirty-three billion, one hundred forty million, one hundred thirty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 401 802 1203 1604 2406 3609 4812 7218 14436 2295659 4591318 6886977 9182636 13773954 20660931 27547908 41321862 82643724 920559259 1841118518 2761677777 3682237036 5523355554 8285033331 11046711108 16570066662 33140133324