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433130200040 = 235791091257491
BaseRepresentation
bin1100100110110001001…
…00100101101111101000
31112101222120212220120202
412103120210211233220
524044022312400130
6530551031211332
743202240645336
oct6233044455750
91471876786522
10433130200040
1115776478500a
126bb3a516b48
1331ac83734c5
1416d6c226b56
15b400234145
hex64d8925be8

433130200040 has 64 divisors (see below), whose sum is σ = 995933664000. Its totient is φ = 169489532160.

The previous prime is 433130200039. The next prime is 433130200049. The reversal of 433130200040 is 40002031334.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 433130199985 and 433130200021.

It is not an unprimeable number, because it can be changed into a prime (433130200049) 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 15 ways as a sum of consecutive naturals, for example, 284306 + ... + 973185.

It is an arithmetic number, because the mean of its divisors is an integer number (15561463500).

Almost surely, 2433130200040 is an apocalyptic number.

433130200040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

433130200040 is an abundant number, since it is smaller than the sum of its proper divisors (562803463960).

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

433130200040 is a wasteful number, since it uses less digits than its factorization.

433130200040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257690 (or 1257686 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 433130200040 its reverse (40002031334), we get a palindrome (473132231374).

The spelling of 433130200040 in words is "four hundred thirty-three billion, one hundred thirty million, two hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 79 109 158 218 316 395 436 545 632 790 872 1090 1580 2180 3160 4360 8611 17222 34444 43055 68888 86110 172220 344440 1257491 2514982 5029964 6287455 10059928 12574910 25149820 50299640 99341789 137066519 198683578 274133038 397367156 496708945 548266076 685332595 794734312 993417890 1096532152 1370665190 1986835780 2741330380 3973671560 5482660760 10828255001 21656510002 43313020004 54141275005 86626040008 108282550010 216565100020 433130200040