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4314450441300 = 22352471009130323
BaseRepresentation
bin111110110010001001010…
…010010011010001010100
3120021110100110200012112220
4332302021102103101110
51031141443303110200
613102010422142340
7623465050442106
oct76621122232124
916243313605486
104314450441300
11141382588433a
125982048819b0
13253b0a658a0c
1410cb6b6cd576
15773670c64a0
hex3ec89493454

4314450441300 has 144 divisors (see below), whose sum is σ = 12750425920512. Its totient is φ = 1125892246400.

The previous prime is 4314450441199. The next prime is 4314450441317. The reversal of 4314450441300 is 31440544134.

It is a super-2 number, since 2×43144504413002 (a number of 26 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 142267939 + ... + 142298261.

It is an arithmetic number, because the mean of its divisors is an integer number (88544624448).

Almost surely, 24314450441300 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 4314450441300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6375212960256).

4314450441300 is an abundant number, since it is smaller than the sum of its proper divisors (8435975479212).

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

4314450441300 is a wasteful number, since it uses less digits than its factorization.

4314450441300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40478 (or 40471 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 4314450441300 its reverse (31440544134), we get a palindrome (4345890985434).

The spelling of 4314450441300 in words is "four trillion, three hundred fourteen billion, four hundred fifty million, four hundred forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 470 564 705 940 1175 1410 2350 2820 3525 4700 7050 10091 14100 20182 30273 30323 40364 50455 60546 60646 90969 100910 121092 121292 151365 151615 181938 201820 252275 302730 303230 363876 454845 474277 504550 605460 606460 756825 758075 909690 948554 1009100 1422831 1425181 1513650 1516150 1819380 1897108 2274225 2371385 2845662 2850362 3027300 3032300 4275543 4548450 4742770 5691324 5700724 7114155 7125905 8551086 9096900 9485540 11856925 14228310 14251810 17102172 21377715 23713850 28456620 28503620 35570775 35629525 42755430 47427700 71141550 71259050 85510860 106888575 142283100 142518100 213777150 305989393 427554300 611978786 917968179 1223957572 1529946965 1835936358 3059893930 3671872716 4589840895 6119787860 7649734825 9179681790 14381501471 15299469650 18359363580 22949204475 28763002942 30598939300 43144504413 45898408950 57526005884 71907507355 86289008826 91796817900 143815014710 172578017652 215722522065 287630029420 359537536775 431445044130 719075073550 862890088260 1078612610325 1438150147100 2157225220650 4314450441300