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1214021424 = 2437112271447
BaseRepresentation
bin100100001011100…
…0111111100110000
310010121101200022110
41020113013330300
54441242141144
6320244405320
742041004030
oct11027077460
93117350273
101214021424
115733132a0
1229a6a6840
13164693595
14b733d8c0
15718aa0b9
hex485c7f30

1214021424 has 160 divisors (see below), whose sum is σ = 3930034176. Its totient is φ = 313724160.

The previous prime is 1214021423. The next prime is 1214021429. The reversal of 1214021424 is 4241204121.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1214021424.

It is not an unprimeable number, because it can be changed into a prime (1214021423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 838269 + ... + 839715.

Almost surely, 21214021424 is an apocalyptic number.

1214021424 is a gapful number since it is divisible by the number (14) 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 1214021424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965017088).

1214021424 is an abundant number, since it is smaller than the sum of its proper divisors (2716012752).

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

1214021424 is a wasteful number, since it uses less digits than its factorization.

1214021424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1214021424 is about 34842.8102196135. The cubic root of 1214021424 is about 1066.7814378240.

Adding to 1214021424 its reverse (4241204121), we get a palindrome (5455225545).

The spelling of 1214021424 in words is "one billion, two hundred fourteen million, twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 227 231 264 308 336 454 462 528 616 681 908 924 1232 1362 1447 1589 1816 1848 2497 2724 2894 3178 3632 3696 4341 4767 4994 5448 5788 6356 7491 8682 9534 9988 10129 10896 11576 12712 14982 15917 17364 17479 19068 19976 20258 23152 25424 29964 30387 31834 34728 34958 38136 39952 40516 47751 52437 59928 60774 63668 69456 69916 76272 81032 95502 104874 111419 119856 121548 127336 139832 162064 191004 209748 222838 243096 254672 279664 328469 334257 382008 419496 445676 486192 656938 668514 764016 838992 891352 985407 1313876 1337028 1782704 1970814 2299283 2627752 2674056 3613159 3941628 4598566 5255504 5348112 6897849 7226318 7883256 9197132 10839477 13795698 14452636 15766512 18394264 21678954 25292113 27591396 28905272 36788528 43357908 50584226 55182792 57810544 75876339 86715816 101168452 110365584 151752678 173431632 202336904 303505356 404673808 607010712 1214021424