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431220234540 = 223529379653899
BaseRepresentation
bin1100100011001101011…
…10101001100100101100
31112020001110221121110210
412101212232221210230
524031114340001130
6530033322102420
743104016341654
oct6214656514454
91466043847423
10431220234540
11156974642727
126b6a694aa10
13318827609c4
1416c2a6c7364
15b33c7085b0
hex6466ba992c

431220234540 has 96 divisors (see below), whose sum is σ = 1252349280000. Its totient is φ = 110733702912.

The previous prime is 431220234517. The next prime is 431220234541. The reversal of 431220234540 is 45432022134.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 431220234498 and 431220234507.

It is not an unprimeable number, because it can be changed into a prime (431220234541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332511 + ... + 986409.

It is an arithmetic number, because the mean of its divisors is an integer number (13045305000).

Almost surely, 2431220234540 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 431220234540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626174640000).

431220234540 is an abundant number, since it is smaller than the sum of its proper divisors (821129045460).

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

431220234540 is a wasteful number, since it uses less digits than its factorization.

431220234540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654319 (or 654317 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 431220234540 its reverse (45432022134), we get a palindrome (476652256674).

The spelling of 431220234540 in words is "four hundred thirty-one billion, two hundred twenty million, two hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 379 435 580 758 870 1137 1516 1740 1895 2274 3790 4548 5685 7580 10991 11370 21982 22740 32973 43964 54955 65946 109910 131892 164865 219820 329730 653899 659460 1307798 1961697 2615596 3269495 3923394 6538990 7846788 9808485 13077980 18963071 19616970 37926142 39233940 56889213 75852284 94815355 113778426 189630710 227556852 247827721 284446065 379261420 495655442 568892130 743483163 991310884 1137784260 1239138605 1486966326 2478277210 2973932652 3717415815 4956554420 7187003909 7434831630 14374007818 14869663260 21561011727 28748015636 35935019545 43122023454 71870039090 86244046908 107805058635 143740078180 215610117270 431220234540