Search a number
-
+
14246956750 = 2531331413449
BaseRepresentation
bin11010100010010111…
…10100111011001110
31100202220011101112211
431101023310323032
5213134210104000
610313413421034
71013024064025
oct152113647316
940686141484
1014246956750
116051043524
12291733a77a
131460827330
149921dd8bc
15585b657ba
hex3512f4ece

14246956750 has 128 divisors (see below), whose sum is σ = 30380313600. Its totient is φ = 4965120000.

The previous prime is 14246956739. The next prime is 14246956753. The reversal of 14246956750 is 5765964241.

It is a super-3 number, since 3×142469567503 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14246956694 and 14246956703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14246956753) 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 63 ways as a sum of consecutive naturals, for example, 4129026 + ... + 4132474.

It is an arithmetic number, because the mean of its divisors is an integer number (237346200).

Almost surely, 214246956750 is an apocalyptic number.

14246956750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14246956750 is an abundant number, since it is smaller than the sum of its proper divisors (16133356850).

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

14246956750 is a wasteful number, since it uses less digits than its factorization.

14246956750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3551 (or 3541 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 49.

The spelling of 14246956750 in words is "fourteen billion, two hundred forty-six million, nine hundred fifty-six thousand, seven hundred fifty".

Divisors: 1 2 5 10 13 25 26 31 41 50 62 65 82 125 130 155 205 250 310 325 403 410 533 650 775 806 1025 1066 1271 1550 1625 2015 2050 2542 2665 3250 3449 3875 4030 5125 5330 6355 6898 7750 10075 10250 12710 13325 16523 17245 20150 26650 31775 33046 34490 44837 50375 63550 66625 82615 86225 89674 100750 106919 133250 141409 158875 165230 172450 213838 224185 282818 317750 413075 431125 448370 534595 707045 826150 862250 1069190 1120925 1389947 1414090 1838317 2065375 2241850 2672975 2779894 3535225 3676634 4130750 4383679 5345950 5604625 6949735 7070450 8767358 9191585 11209250 13364875 13899470 17676125 18383170 21918395 26729750 34748675 35352250 43836790 45957925 56987827 69497350 91915850 109591975 113975654 173743375 219183950 229789625 284939135 347486750 459579250 547959875 569878270 1095919750 1424695675 2849391350 7123478375 14246956750