Search a number
-
+
1244100212140 = 2251719937614889
BaseRepresentation
bin10010000110101010001…
…001101011010110101100
311101221020111001000010211
4102012222021223112230
5130340404123242030
62351310505112204
7155611651215052
oct22065211532654
94357214030124
101244100212140
1143a690155205
12181146788664
1390419c77ba6
14443014941d2
152256664012a
hex121aa26b5ac

1244100212140 has 96 divisors (see below), whose sum is σ = 2781502416000. Its totient is φ = 465794334720.

The previous prime is 1244100212111. The next prime is 1244100212143. The reversal of 1244100212140 is 412120014421.

It is not an unprimeable number, because it can be changed into a prime (1244100212143) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 254466816 + ... + 254471704.

It is an arithmetic number, because the mean of its divisors is an integer number (28973983500).

Almost surely, 21244100212140 is an apocalyptic number.

1244100212140 is a gapful number since it is divisible by the number (10) 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 1244100212140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390751208000).

1244100212140 is an abundant number, since it is smaller than the sum of its proper divisors (1537402203860).

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

1244100212140 is a wasteful number, since it uses less digits than its factorization.

1244100212140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8875 (or 8873 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 1244100212140 its reverse (412120014421), we get a palindrome (1656220226561).

The spelling of 1244100212140 in words is "one trillion, two hundred forty-four billion, one hundred million, two hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 199 340 398 796 995 1990 3383 3761 3980 4889 6766 7522 9778 13532 15044 16915 18805 19556 24445 33830 37610 48890 63937 67660 75220 83113 97780 127874 166226 255748 319685 332452 415565 639370 748439 831130 972911 1278740 1496878 1662260 1945822 2993756 3742195 3891644 4864555 7484390 9729110 12723463 14968780 16539487 18387529 19458220 25446926 33078974 36775058 50893852 63617315 66157948 73550116 82697435 91937645 127234630 165394870 183875290 254469260 312587993 330789740 367750580 625175986 1250351972 1562939965 3125879930 3659118271 6251759860 7318236542 14636473084 18295591355 36591182710 62205010607 73182365420 124410021214 248820042428 311025053035 622050106070 1244100212140