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1331453214 = 234713372441
BaseRepresentation
bin100111101011100…
…0101110100011110
310102210100211110000
41033113011310132
510211323000324
6340041355130
744665110540
oct11727056436
93383324400
101331453214
11623630563
12311a98aa6
13182acb550
14c8b8b690
157bd549c9
hex4f5c5d1e

1331453214 has 160 divisors (see below), whose sum is σ = 3772714176. Its totient is φ = 341521920.

The previous prime is 1331453213. The next prime is 1331453239. The reversal of 1331453214 is 4123541331.

It is a happy number.

1331453214 is a `hidden beast` number, since 1 + 331 + 4 + 5 + 321 + 4 = 666.

It is a super-2 number, since 2×13314532142 = 3545535322141859592, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331453213) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 544234 + ... + 546674.

Almost surely, 21331453214 is an apocalyptic number.

1331453214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331453214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886357088).

1331453214 is an abundant number, since it is smaller than the sum of its proper divisors (2441260962).

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

1331453214 is a wasteful number, since it uses less digits than its factorization.

1331453214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512 (or 2503 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 1331453214 is about 36489.0834908196. The cubic root of 1331453214 is about 1100.1248381733.

Adding to 1331453214 its reverse (4123541331), we get a palindrome (5454994545).

The spelling of 1331453214 in words is "one billion, three hundred thirty-one million, four hundred fifty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 37 39 42 54 63 74 78 81 91 111 117 126 162 182 189 222 234 259 273 333 351 378 481 518 546 567 666 702 777 819 962 999 1053 1134 1443 1554 1638 1998 2106 2331 2441 2457 2886 2997 3367 4329 4662 4882 4914 5994 6734 6993 7323 7371 8658 10101 12987 13986 14646 14742 17087 20202 20979 21969 25974 30303 31733 34174 38961 41958 43938 51261 60606 63466 65907 77922 90317 90909 95199 102522 131814 153783 180634 181818 190398 197721 222131 270951 272727 285597 307566 395442 444262 461349 541902 545454 571194 632219 666393 812853 856791 922698 1174121 1264438 1332786 1384047 1625706 1713582 1896657 1999179 2348242 2438559 2570373 2768094 3522363 3793314 3998358 4877118 5140746 5689971 5997537 7044726 7315677 8218847 10567089 11379942 11995074 14631354 16437694 17069913 17992611 21134178 24656541 31701267 34139826 35985222 49313082 51209739 63402534 73969623 95103801 102419478 147939246 190207602 221908869 443817738 665726607 1331453214