Search a number
-
+
1214441213250 = 23534734998717
BaseRepresentation
bin10001101011000010010…
…101100100110101000010
311022002200111101202100110
4101223002111210311002
5124344133422311000
62325523453532150
7153511661663406
oct21530225446502
94262614352313
101214441213250
1142905044a381
12177449aa4056
138a6a1437cc5
1442aca453106
15218cc923850
hex11ac2564d42

1214441213250 has 128 divisors (see below), whose sum is σ = 3104641612800. Its totient is φ = 316049145600.

The previous prime is 1214441213207. The next prime is 1214441213257. The reversal of 1214441213250 is 523121444121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1214441213257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12252892 + ... + 12351608.

It is an arithmetic number, because the mean of its divisors is an integer number (24255012600).

Almost surely, 21214441213250 is an apocalyptic number.

1214441213250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214441213250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552320806400).

1214441213250 is an abundant number, since it is smaller than the sum of its proper divisors (1890200399550).

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

1214441213250 is a wasteful number, since it uses less digits than its factorization.

1214441213250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99133 (or 99123 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 1214441213250 its reverse (523121444121), we get a palindrome (1737562657371).

The spelling of 1214441213250 in words is "one trillion, two hundred fourteen billion, four hundred forty-one million, two hundred thirteen thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 47 50 75 94 125 141 150 235 250 282 349 375 470 698 705 750 1047 1175 1410 1745 2094 2350 3490 3525 5235 5875 7050 8725 10470 11750 16403 17450 17625 26175 32806 35250 43625 49209 52350 82015 87250 98418 98717 130875 164030 197434 246045 261750 296151 410075 492090 493585 592302 820150 987170 1230225 1480755 2050375 2460450 2467925 2961510 4100750 4639699 4935850 6151125 7403775 9279398 12302250 12339625 13919097 14807550 23198495 24679250 27838194 34452233 37018875 46396990 68904466 69595485 74037750 103356699 115992475 139190970 172261165 206713398 231984950 344522330 347977425 516783495 579962375 695954850 861305825 1033566990 1159924750 1619254951 1722611650 1739887125 2583917475 3238509902 3479774250 4306529125 4857764853 5167834950 8096274755 8613058250 9715529706 12919587375 16192549510 24288824265 25839174750 40481373775 48577648530 80962747550 121444121325 202406868875 242888242650 404813737750 607220606625 1214441213250