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214301341332 = 22351343394409
BaseRepresentation
bin1100011110010101011…
…0101111011010010100
3202111011000210002200000
43013211112233122110
512002342120410312
6242240525251300
721324405226461
oct3074526573224
9674130702600
10214301341332
118298057a661
1235649103b30
13172931a8520
14a52d5da668
155893c7dadc
hex31e55af694

214301341332 has 144 divisors (see below), whose sum is σ = 619053314880. Its totient is φ = 64405248768.

The previous prime is 214301341277. The next prime is 214301341333. The reversal of 214301341332 is 233143103412.

It is a happy number.

214301341332 is a `hidden beast` number, since 2 + 14 + 301 + 341 + 3 + 3 + 2 = 666.

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 = 214301341296 and 214301341305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214301341333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 346144 + ... + 740552.

Almost surely, 2214301341332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214301341332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309526657440).

214301341332 is an abundant number, since it is smaller than the sum of its proper divisors (404751973548).

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

214301341332 is a wasteful number, since it uses less digits than its factorization.

214301341332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394484 (or 394470 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 214301341332 its reverse (233143103412), we get a palindrome (447444444744).

The spelling of 214301341332 in words is "two hundred fourteen billion, three hundred one million, three hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 43 52 54 78 81 86 108 117 129 156 162 172 234 243 258 324 351 387 468 486 516 559 702 774 972 1053 1118 1161 1404 1548 1677 2106 2236 2322 3159 3354 3483 4212 4644 5031 6318 6708 6966 10062 10449 12636 13932 15093 20124 20898 30186 41796 45279 60372 90558 135837 181116 271674 394409 543348 788818 1183227 1577636 2366454 3549681 4732908 5127317 7099362 10254634 10649043 14198724 15381951 16959587 20509268 21298086 30763902 31947129 33919174 42596172 46145853 50878761 61527804 63894258 67838348 92291706 95841387 101757522 127788516 138437559 152636283 184583412 191682774 203515044 220474631 276875118 305272566 383365548 415312677 440949262 457908849 553750236 610545132 661423893 830625354 881898524 915817698 1245938031 1322847786 1373726547 1661250708 1831635396 1984271679 2491876062 2645695572 2747453094 3968543358 4121179641 4983752124 5494906188 5952815037 7937086716 8242359282 11905630074 16484718564 17858445111 23811260148 35716890222 53575335333 71433780444 107150670666 214301341332