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45323358144 = 2636727113001
BaseRepresentation
bin101010001101011110…
…111000111111000000
311022222122220011001020
4222031132320333000
51220310234430034
632453220505440
73163104121251
oct521536707700
9138878804036
1045323358144
1118248943889
12894a84b280
134373bc9a1c
14229d5a2b28
1512a4013249
hexa8d7b8fc0

45323358144 has 112 divisors (see below), whose sum is σ = 122166375936. Its totient is φ = 14826240000.

The previous prime is 45323358139. The next prime is 45323358161. The reversal of 45323358144 is 44185332354.

It is a super-2 number, since 2×453233581442 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45323358096 and 45323358105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3479644 + ... + 3492644.

Almost surely, 245323358144 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 45323358144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61083187968).

45323358144 is an abundant number, since it is smaller than the sum of its proper divisors (76843017792).

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

45323358144 is a wasteful number, since it uses less digits than its factorization.

45323358144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13354 (or 13344 counting only the distinct ones).

The product of its digits is 691200, while the sum is 42.

The spelling of 45323358144 in words is "forty-five billion, three hundred twenty-three million, three hundred fifty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 134 192 201 268 271 402 536 542 804 813 1072 1084 1608 1626 2144 2168 3216 3252 4288 4336 6432 6504 8672 12864 13001 13008 17344 18157 26002 26016 36314 39003 52004 52032 54471 72628 78006 104008 108942 145256 156012 208016 217884 290512 312024 416032 435768 581024 624048 832064 871067 871536 1162048 1248096 1742134 1743072 2496192 2613201 3484268 3486144 3523271 5226402 6968536 7046542 10452804 10569813 13937072 14093084 20905608 21139626 27874144 28186168 41811216 42279252 55748288 56372336 83622432 84558504 112744672 167244864 169117008 225489344 236059157 338234016 472118314 676468032 708177471 944236628 1416354942 1888473256 2832709884 3776946512 5665419768 7553893024 11330839536 15107786048 22661679072 45323358144