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23144364450 = 23252383134287
BaseRepresentation
bin10101100011100000…
…101111100110100010
32012201222012112101100
4111203200233212202
5334344424130300
614344332015230
71446352565124
oct254340574642
965658175340
1023144364450
1198a7432629
12459b001516
13224ac66c0c
141197b4b214
15906d29700
hex56382f9a2

23144364450 has 72 divisors (see below), whose sum is σ = 62344009728. Its totient is φ = 6155670240.

The previous prime is 23144364449. The next prime is 23144364499. The reversal of 23144364450 is 5446344132.

23144364450 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 4 + 3 + 644 + 5 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 105207 + ... + 239493.

It is an arithmetic number, because the mean of its divisors is an integer number (865889024).

Almost surely, 223144364450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23144364450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31172004864).

23144364450 is an abundant number, since it is smaller than the sum of its proper divisors (39199645278).

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

23144364450 is a wasteful number, since it uses less digits than its factorization.

23144364450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134688 (or 134680 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 23144364450 in words is "twenty-three billion, one hundred forty-four million, three hundred sixty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 383 450 766 1149 1915 2298 3447 3830 5745 6894 9575 11490 17235 19150 28725 34470 57450 86175 134287 172350 268574 402861 671435 805722 1208583 1342870 2014305 2417166 3357175 4028610 6042915 6714350 10071525 12085830 20143050 30214575 51431921 60429150 102863842 154295763 257159605 308591526 462887289 514319210 771478815 925774578 1285798025 1542957630 2314436445 2571596050 3857394075 4628872890 7714788150 11572182225 23144364450