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2354214544240 = 2451317912646189
BaseRepresentation
bin100010010000100010000…
…111110010001101110000
322100001122021000002011011
4202100202013302031300
5302032412410403430
65001302232000304
7332041426311226
oct42204207621560
98301567002134
102354214544240
11828464810649
12320319830094
13141003331750
1481d31d62b16
154138a03522a
hex224221f2370

2354214544240 has 80 divisors (see below), whose sum is σ = 5927522176800. Its totient is φ = 864392242176.

The previous prime is 2354214544223. The next prime is 2354214544247. The reversal of 2354214544240 is 424454124532.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×23542145442402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2354214544193 and 2354214544202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2354214544247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6136935 + ... + 6509254.

It is an arithmetic number, because the mean of its divisors is an integer number (74094027210).

Almost surely, 22354214544240 is an apocalyptic number.

2354214544240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2354214544240 is an abundant number, since it is smaller than the sum of its proper divisors (3573307632560).

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

2354214544240 is a wasteful number, since it uses less digits than its factorization.

2354214544240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12646394 (or 12646388 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 40.

Adding to 2354214544240 its reverse (424454124532), we get a palindrome (2778668668772).

The spelling of 2354214544240 in words is "two trillion, three hundred fifty-four billion, two hundred fourteen million, five hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 179 208 260 358 520 716 895 1040 1432 1790 2327 2864 3580 4654 7160 9308 11635 14320 18616 23270 37232 46540 93080 186160 12646189 25292378 50584756 63230945 101169512 126461890 164400457 202339024 252923780 328800914 505847560 657601828 822002285 1011695120 1315203656 1644004570 2263667831 2630407312 3288009140 4527335662 6576018280 9054671324 11318339155 13152036560 18109342648 22636678310 29427681803 36218685296 45273356620 58855363606 90546713240 117710727212 147138409015 181093426480 235421454424 294276818030 470842908848 588553636060 1177107272120 2354214544240