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1244432000020 = 2251125722009763
BaseRepresentation
bin10010000110111101111…
…011010110010000010100
311101222002121100120112211
4102012331323112100110
5130342044043000040
62351403440323204
7155623120320466
oct22067573262024
94358077316484
101244432000020
1143a840470370
12181219913504
1390470925691
1444333580136
152258582c8ea
hex121bded6414

1244432000020 has 48 divisors (see below), whose sum is σ = 2861973632448. Its totient is φ = 450759925760.

The previous prime is 1244432000003. The next prime is 1244432000057. The reversal of 1244432000020 is 200002344421.

It is a happy number.

It is a super-2 number, since 2×12444320000202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1244431999955 and 1244432000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10948342 + ... + 11061421.

It is an arithmetic number, because the mean of its divisors is an integer number (59624450676).

Almost surely, 21244432000020 is an apocalyptic number.

1244432000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1244432000020 is an abundant number, since it is smaller than the sum of its proper divisors (1617541632428).

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

1244432000020 is a wasteful number, since it uses less digits than its factorization.

1244432000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22010040 (or 22010038 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 1244432000020 its reverse (200002344421), we get a palindrome (1444434344441).

The spelling of 1244432000020 in words is "one trillion, two hundred forty-four billion, four hundred thirty-two million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 257 514 1028 1285 2570 2827 5140 5654 11308 14135 28270 56540 22009763 44019526 88039052 110048815 220097630 242107393 440195260 484214786 968429572 1210536965 2421073930 4842147860 5656509091 11313018182 22626036364 28282545455 56565090910 62221600001 113130181820 124443200002 248886400004 311108000005 622216000010 1244432000020