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5000144105 = 511218614441
BaseRepresentation
bin1001010100000100…
…00010010011101001
3110220110122122020102
410222002002103221
540220014102410
62144054235145
7234623344415
oct45202022351
913813578212
105000144105
1121364a6300
12b76655ab5
13618bac368
143560dbd45
151e3e842a5
hex12a0824e9

5000144105 has 24 divisors (see below), whose sum is σ = 6600261192. Its totient is φ = 3633696000.

The previous prime is 5000144089. The next prime is 5000144113. The reversal of 5000144105 is 5014410005.

It can be written as a sum of positive squares in 4 ways, for example, as 62552281 + 4937591824 = 7909^2 + 70268^2 .

It is not a de Polignac number, because 5000144105 - 24 = 5000144089 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1123685 + ... + 1128125.

It is an arithmetic number, because the mean of its divisors is an integer number (275010883).

Almost surely, 25000144105 is an apocalyptic number.

5000144105 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5000144105 is a deficient number, since it is larger than the sum of its proper divisors (1600117087).

5000144105 is a wasteful number, since it uses less digits than its factorization.

5000144105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6329 (or 6318 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 5000144105 is about 70711.6970875399. The cubic root of 5000144105 is about 1709.9923742578.

The spelling of 5000144105 in words is "five billion, one hundred forty-four thousand, one hundred five".

Divisors: 1 5 11 55 121 605 1861 4441 9305 20471 22205 48851 102355 225181 244255 537361 1125905 2686805 8264701 41323505 90911711 454558555 1000028821 5000144105