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45434014200 = 233252193130783
BaseRepresentation
bin101010010100000101…
…000000100111111000
311100021101010001121200
4222110011000213320
51221022101423300
632512212334200
73165616514541
oct522405004770
9140241101550
1045434014200
11182a5353373
12897b914360
134390b01893
1422b01694c8
1512adac0200
hexa941409f8

45434014200 has 144 divisors (see below), whose sum is σ = 153374320320. Its totient is φ = 12052869120.

The previous prime is 45434014187. The next prime is 45434014243. The reversal of 45434014200 is 241043454.

It is a happy number.

45434014200 is a `hidden beast` number, since 4 + 54 + 3 + 401 + 4 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 282009 + ... + 412791.

Almost surely, 245434014200 is an apocalyptic number.

45434014200 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 45434014200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76687160160).

45434014200 is an abundant number, since it is smaller than the sum of its proper divisors (107940306120).

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

45434014200 is a wasteful number, since it uses less digits than its factorization.

45434014200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130998 (or 130986 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 45434014200 its reverse (241043454), we get a palindrome (45675057654).

The spelling of 45434014200 in words is "forty-five billion, four hundred thirty-four million, fourteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 193 200 225 300 360 386 450 579 600 772 900 965 1158 1544 1737 1800 1930 2316 2895 3474 3860 4632 4825 5790 6948 7720 8685 9650 11580 13896 14475 17370 19300 23160 28950 34740 38600 43425 57900 69480 86850 115800 130783 173700 261566 347400 392349 523132 653915 784698 1046264 1177047 1307830 1569396 1961745 2354094 2615660 3138792 3269575 3923490 4708188 5231320 5885235 6539150 7846980 9416376 9808725 11770470 13078300 15693960 19617450 23540940 25241119 26156600 29426175 39234900 47081880 50482238 58852350 75723357 78469800 100964476 117704700 126205595 151446714 201928952 227170071 235409400 252411190 302893428 378616785 454340142 504822380 605786856 631027975 757233570 908680284 1009644760 1135850355 1262055950 1514467140 1817360568 1893083925 2271700710 2524111900 3028934280 3786167850 4543401420 5048223800 5679251775 7572335700 9086802840 11358503550 15144671400 22717007100 45434014200