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1246422553040 = 245721132813849
BaseRepresentation
bin10010001000110100100…
…100101101000111010000
311102011020022221010221202
4102020310210231013100
5130410133133144130
62352333145010332
7156023340615200
oct22106444550720
94364208833852
101246422553040
11440672045305
121816944839a8
13906ca142ac2
1444481a9a400
1522650476145
hex1223492d1d0

1246422553040 has 120 divisors (see below), whose sum is σ = 3400897897800. Its totient is φ = 423562911744.

The previous prime is 1246422553031. The next prime is 1246422553063. The reversal of 1246422553040 is 403552246421.

It can be written as a sum of positive squares in 4 ways, for example, as 36959293504 + 1209463259536 = 192248^2 + 1099756^2 .

It is a super-2 number, since 2×12464225530402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1246422552985 and 1246422553003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 963965 + ... + 1849884.

It is an arithmetic number, because the mean of its divisors is an integer number (28340815815).

Almost surely, 21246422553040 is an apocalyptic number.

1246422553040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1246422553040 is an abundant number, since it is smaller than the sum of its proper divisors (2154475344760).

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

1246422553040 is a wasteful number, since it uses less digits than its factorization.

1246422553040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813989 (or 2813976 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

Adding to 1246422553040 its reverse (403552246421), we get a palindrome (1649974799461).

The spelling of 1246422553040 in words is "one trillion, two hundred forty-six billion, four hundred twenty-two million, five hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 113 140 196 226 245 280 392 452 490 560 565 784 791 904 980 1130 1582 1808 1960 2260 3164 3920 3955 4520 5537 6328 7910 9040 11074 12656 15820 22148 27685 31640 44296 55370 63280 88592 110740 221480 442960 2813849 5627698 11255396 14069245 19696943 22510792 28138490 39393886 45021584 56276980 78787772 98484715 112553960 137878601 157575544 196969430 225107920 275757202 315151088 317964937 393938860 551514404 635929874 689393005 787877720 1103028808 1271859748 1378786010 1575755440 1589824685 2206057616 2225754559 2543719496 2757572020 3179649370 4451509118 5087438992 5515144040 6359298740 8903018236 11030288080 11128772795 12718597480 15580281913 17806036472 22257545590 25437194960 31160563826 35612072944 44515091180 62321127652 77901409565 89030182360 124642255304 155802819130 178060364720 249284510608 311605638260 623211276520 1246422553040