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44642545000 = 235461146369
BaseRepresentation
bin101001100100111001…
…110010110101101000
311021020012211020222121
4221210321302311220
51212411442420000
632301500401024
73140166241264
oct514471626550
9137205736877
1044642545000
1117a29609899
12879a846174
134295b47901
142236dc10a4
151264380b1a
hexa64e72d68

44642545000 has 80 divisors (see below), whose sum is σ = 106312922100. Its totient is φ = 17564160000.

The previous prime is 44642544983. The next prime is 44642545109. The reversal of 44642545000 is 54524644.

44642545000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 23231246724 + 21411298276 = 152418^2 + 146326^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 231816 + ... + 378184.

Almost surely, 244642545000 is an apocalyptic number.

44642545000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44642545000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53156461050).

44642545000 is an abundant number, since it is smaller than the sum of its proper divisors (61670377100).

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

44642545000 is a wasteful number, since it uses less digits than its factorization.

44642545000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146456 (or 146437 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

The spelling of 44642545000 in words is "forty-four billion, six hundred forty-two million, five hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 125 200 244 250 305 488 500 610 625 1000 1220 1250 1525 2440 2500 3050 5000 6100 7625 12200 15250 30500 38125 61000 76250 146369 152500 292738 305000 585476 731845 1170952 1463690 2927380 3659225 5854760 7318450 8928509 14636900 17857018 18296125 29273800 35714036 36592250 44642545 71428072 73184500 89285090 91480625 146369000 178570180 182961250 223212725 357140360 365922500 446425450 731845000 892850900 1116063625 1785701800 2232127250 4464254500 5580318125 8928509000 11160636250 22321272500 44642545000