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9144040192 = 28715433307
BaseRepresentation
bin10001000010000011…
…01111101100000000
3212121021010101000021
420201001233230000
5122211333241232
64111204303224
7442412026210
oct104101575400
925537111007
109144040192
113972632811
1219323a1b14
13b29573591
1462a5cc240
15387b80397
hex22106fb00

9144040192 has 72 divisors (see below), whose sum is σ = 20879672576. Its totient is φ = 3915150336.

The previous prime is 9144040183. The next prime is 9144040207. The reversal of 9144040192 is 2910404419.

It is a super-2 number, since 2×91440401922 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2763403 + ... + 2766709.

Almost surely, 29144040192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9144040192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10439836288).

9144040192 is an abundant number, since it is smaller than the sum of its proper divisors (11735632384).

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

9144040192 is a wasteful number, since it uses less digits than its factorization.

9144040192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4873 (or 4859 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 9144040192 is about 95624.4748586888. The cubic root of 9144040192 is about 2091.1220207941.

The spelling of 9144040192 in words is "nine billion, one hundred forty-four million, forty thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1543 1792 3086 3307 6172 6614 10801 12344 13228 21602 23149 24688 26456 43204 46298 49376 52912 86408 92596 98752 105824 172816 185192 197504 211648 345632 370384 395008 423296 691264 740768 846592 1382528 1481536 2765056 2963072 5102701 5926144 10205402 20410804 35718907 40821608 71437814 81643216 142875628 163286432 285751256 326572864 571502512 653145728 1143005024 1306291456 2286010048 4572020096 9144040192