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44067144133407 = 3233122392384531
BaseRepresentation
bin10100000010100001011100…
…11110001110101100011111
312210000210000001011002122110
422001100232132032230133
521233444002344232112
6233420055550045103
712165513624550623
oct1201205636165437
9183023001132573
1044067144133407
111304a85304298a
124b386114a9793
131b7868ac4cb45
14ac4c0b027183
1551644a71513c
hex28142e78eb1f

44067144133407 has 32 divisors (see below), whose sum is σ = 63572383236096. Its totient is φ = 27072362671200.

The previous prime is 44067144133343. The next prime is 44067144133427. The reversal of 44067144133407 is 70433144176044.

44067144133407 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 44067144133407 - 26 = 44067144133343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44067144133427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45715269 + ... + 46669262.

It is an arithmetic number, because the mean of its divisors is an integer number (1986636976128).

Almost surely, 244067144133407 is an apocalyptic number.

44067144133407 is a deficient number, since it is larger than the sum of its proper divisors (19505239102689).

44067144133407 is a wasteful number, since it uses less digits than its factorization.

44067144133407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92384811.

The product of its (nonzero) digits is 2709504, while the sum is 48.

The spelling of 44067144133407 in words is "forty-four trillion, sixty-seven billion, one hundred forty-four million, one hundred thirty-three thousand, four hundred seven".

Divisors: 1 3 23 31 69 93 223 669 713 2139 5129 6913 15387 20739 158999 476997 92384531 277153593 2124844213 2863920461 6374532639 8591761383 20601750413 61805251239 65870170603 197610511809 473840259499 638654262803 1421520778497 1915962788409 14689048044469 44067144133407