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33434001144 = 23321992333473
BaseRepresentation
bin11111001000110100…
…100101111011111000
310012022001222020100200
4133020310211323320
51021433101014034
623205342402200
72262345214665
oct371064457370
9105261866320
1033434001144
11131a7692a05
126590b90360
1331ca96413b
141892546a6c
15d0a34aa99
hex7c8d25ef8

33434001144 has 48 divisors (see below), whose sum is σ = 91005486000. Its totient is φ = 11088658944.

The previous prime is 33434001137. The next prime is 33434001157. The reversal of 33434001144 is 44110043433.

It is a super-2 number, since 2×334340011442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 1152409 + ... + 1181064.

It is an arithmetic number, because the mean of its divisors is an integer number (1895947625).

Almost surely, 233434001144 is an apocalyptic number.

It is an amenable number.

33434001144 is an abundant number, since it is smaller than the sum of its proper divisors (57571484856).

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

33434001144 is a wasteful number, since it uses less digits than its factorization.

33434001144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333684 (or 2333677 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 33434001144 its reverse (44110043433), we get a palindrome (77544044577).

The spelling of 33434001144 in words is "thirty-three billion, four hundred thirty-four million, one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 199 398 597 796 1194 1592 1791 2388 3582 4776 7164 14328 2333473 4666946 7000419 9333892 14000838 18667784 21001257 28001676 42002514 56003352 84005028 168010056 464361127 928722254 1393083381 1857444508 2786166762 3714889016 4179250143 5572333524 8358500286 11144667048 16717000572 33434001144