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4314212431380 = 2232543557391787
BaseRepresentation
bin111110110001111011000…
…110010111011000010100
3120021102201212211001022200
4332301323012113120110
51031141001340301010
613101531040524500
7623456130415455
oct76617306273024
916242655731280
104314212431380
11141371349aa25
12598159020730
13253aa0253947
1410cb47c5512c
157735125ecc0
hex3ec7b197614

4314212431380 has 72 divisors (see below), whose sum is σ = 13390780314912. Its totient is φ = 1123701840576.

The previous prime is 4314212431301. The next prime is 4314212431381. The reversal of 4314212431380 is 831342124134.

4314212431380 is a `hidden beast` number, since 4 + 3 + 1 + 4 + 212 + 431 + 3 + 8 + 0 = 666.

It is a super-2 number, since 2×43142124313802 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314212431381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278688154 + ... + 278703633.

Almost surely, 24314212431380 is an apocalyptic number.

It is an amenable number.

4314212431380 is an abundant number, since it is smaller than the sum of its proper divisors (9076567883532).

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

4314212431380 is a wasteful number, since it uses less digits than its factorization.

4314212431380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557391845 (or 557391840 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 4314212431380 in words is "four trillion, three hundred fourteen billion, two hundred twelve million, four hundred thirty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 557391787 1114783574 1672175361 2229567148 2786958935 3344350722 5016526083 5573917870 6688701444 8360876805 10033052166 11147835740 16721753610 20066104332 23967846841 25082630415 33443507220 47935693682 50165260830 71903540523 95871387364 100330521660 119839234205 143807081046 215710621569 239678468410 287614162092 359517702615 431421243138 479356936820 719035405230 862842486276 1078553107845 1438070810460 2157106215690 4314212431380