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45030344100 = 22352738355987
BaseRepresentation
bin101001111100000001…
…001000010110100100
311022020020112111100020
4221330001020112210
51214210232002400
632404152315140
73152615416020
oct517401102644
9138206474306
1045030344100
1118108501015
1288886a2ab0
1343282a6931
1422726cb380
1512884342a0
hexa7c0485a4

45030344100 has 144 divisors (see below), whose sum is σ = 149291778048. Its totient is φ = 10265592960.

The previous prime is 45030344077. The next prime is 45030344111. The reversal of 45030344100 is 144303054.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 776307 + ... + 832293.

Almost surely, 245030344100 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 45030344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74645889024).

45030344100 is an abundant number, since it is smaller than the sum of its proper divisors (104261433948).

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

45030344100 is a wasteful number, since it uses less digits than its factorization.

45030344100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56394 (or 56387 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 45030344100 its reverse (144303054), we get a palindrome (45174647154).

The spelling of 45030344100 in words is "forty-five billion, thirty million, three hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 383 420 525 700 766 1050 1149 1532 1915 2100 2298 2681 3830 4596 5362 5745 7660 8043 9575 10724 11490 13405 16086 19150 22980 26810 28725 32172 38300 40215 53620 55987 57450 67025 80430 111974 114900 134050 160860 167961 201075 223948 268100 279935 335922 391909 402150 559870 671844 783818 804300 839805 1119740 1175727 1399675 1567636 1679610 1959545 2351454 2799350 3359220 3919090 4199025 4702908 5598700 5878635 7838180 8398050 9797725 11757270 16796100 19595450 21443021 23514540 29393175 39190900 42886042 58786350 64329063 85772084 107215105 117572700 128658126 150101147 214430210 257316252 300202294 321645315 428860420 450303441 536075525 600404588 643290630 750505735 900606882 1072151050 1286581260 1501011470 1608226575 1801213764 2144302100 2251517205 3002022940 3216453150 3752528675 4503034410 6432906300 7505057350 9006068820 11257586025 15010114700 22515172050 45030344100