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45214334400 = 263529419653
BaseRepresentation
bin101010000110111110…
…111111110111000000
311022201001202011120210
4222012332333313000
51220044332200100
632434324034120
73160311333624
oct520676776700
9138631664523
1045214334400
11181a2349714
12891a232940
134357446b31
14228cd03184
151299679c50
hexa86fbfdc0

45214334400 has 84 divisors (see below), whose sum is σ = 148340711192. Its totient is φ = 12057154560.

The previous prime is 45214334357. The next prime is 45214334419. The reversal of 45214334400 is 443341254.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4705027 + ... + 4714626.

Almost surely, 245214334400 is an apocalyptic number.

45214334400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45214334400 is an abundant number, since it is smaller than the sum of its proper divisors (103126376792).

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

45214334400 is a wasteful number, since it uses less digits than its factorization.

45214334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9419678 (or 9419663 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 45214334400 its reverse (443341254), we get a palindrome (45657675654).

The spelling of 45214334400 in words is "forty-five billion, two hundred fourteen million, three hundred thirty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 9419653 18839306 28258959 37678612 47098265 56517918 75357224 94196530 113035836 141294795 150714448 188393060 226071672 235491325 282589590 301428896 376786120 452143344 470982650 565179180 602857792 706473975 753572240 904286688 941965300 1130358360 1412947950 1507144480 1808573376 1883930600 2260716720 2825895900 3014288960 3767861200 4521433440 5651791800 7535722400 9042866880 11303583600 15071444800 22607167200 45214334400