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14152215132 = 22331119232999
BaseRepresentation
bin11010010111000100…
…11010101001011100
31100112021220000111000
431023202122221130
5212440431341012
610300151030300
71010463562266
oct151342325134
940467800430
1014152215132
116002613770
1228ab66b390
1314470050c3
149837bab36
1557c69dddc
hex34b89aa5c

14152215132 has 144 divisors (see below), whose sum is σ = 42245280000. Its totient is φ = 4062713760.

The previous prime is 14152215089. The next prime is 14152215149. The reversal of 14152215132 is 23151225141.

It is a happy number.

14152215132 is a `hidden beast` number, since 1 + 4 + 1 + 522 + 1 + 5 + 132 = 666.

14152215132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14152215096 and 14152215105.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 412369 + ... + 445367.

It is an arithmetic number, because the mean of its divisors is an integer number (293370000).

Almost surely, 214152215132 is an apocalyptic number.

14152215132 is a gapful number since it is divisible by the number (12) 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 14152215132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21122640000).

14152215132 is an abundant number, since it is smaller than the sum of its proper divisors (28093064868).

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

14152215132 is a wasteful number, since it uses less digits than its factorization.

14152215132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33061 (or 33034 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The spelling of 14152215132 in words is "fourteen billion, one hundred fifty-two million, two hundred fifteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 99 108 114 132 171 198 209 228 297 342 361 396 418 513 594 627 684 722 836 1026 1083 1188 1254 1444 1881 2052 2166 2508 3249 3762 3971 4332 5643 6498 7524 7942 9747 11286 11913 12996 15884 19494 22572 23826 32999 35739 38988 47652 65998 71478 98997 107217 131996 142956 197994 214434 296991 362989 395988 428868 593982 626981 725978 890973 1088967 1187964 1253962 1451956 1781946 1880943 2177934 2507924 3266901 3563892 3761886 4355868 5642829 6533802 6896791 7523772 9800703 11285658 11912639 13067604 13793582 16928487 19601406 20690373 22571316 23825278 27587164 33856974 35737917 39202812 41380746 47650556 62071119 67713948 71475834 82761492 107213751 124142238 131039029 142951668 186213357 214427502 248284476 262078058 321641253 372426714 393117087 428855004 524156116 643282506 744853428 786234174 1179351261 1286565012 1572468348 2358702522 3538053783 4717405044 7076107566 14152215132