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423141330432 = 2931738214241
BaseRepresentation
bin1100010100001010011…
…00000100111000000000
31111110012110001202111010
412022011030010320000
523413043140033212
6522215523120520
742366556651452
oct6120514047000
91443173052433
10423141330432
111534a9282477
126a011213140
1330b95a82282
14166a17602d2
15b01832403c
hex6285304e00

423141330432 has 160 divisors (see below), whose sum is σ = 1194179130144. Its totient is φ = 132684185600.

The previous prime is 423141330421. The next prime is 423141330461. The reversal of 423141330432 is 234033141324.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 423141330432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99771832 + ... + 99776072.

Almost surely, 2423141330432 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 423141330432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597089565072).

423141330432 is an abundant number, since it is smaller than the sum of its proper divisors (771037799712).

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

423141330432 is a wasteful number, since it uses less digits than its factorization.

423141330432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8100 (or 8084 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 423141330432 its reverse (234033141324), we get a palindrome (657174471756).

The spelling of 423141330432 in words is "four hundred twenty-three billion, one hundred forty-one million, three hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1088 1536 1632 2176 3264 3821 4241 4352 6528 7642 8482 8704 11463 12723 13056 15284 16964 22926 25446 26112 30568 33928 45852 50892 61136 64957 67856 72097 91704 101784 122272 129914 135712 144194 183408 194871 203568 216291 244544 259828 271424 288388 366816 389742 407136 432582 489088 519656 542848 576776 733632 779484 814272 865164 978176 1039312 1085696 1153552 1467264 1558968 1628544 1730328 1956352 2078624 2171392 2307104 2934528 3117936 3257088 3460656 4157248 4614208 5869056 6235872 6514176 6921312 8314496 9228416 12471744 13842624 16204861 16628992 18456832 24943488 27685248 32409722 33257984 36913664 48614583 49886976 55370496 64819444 97229166 99773952 110740992 129638888 194458332 259277776 275482637 388916664 518555552 550965274 777833328 826447911 1037111104 1101930548 1555666656 1652895822 2074222208 2203861096 3111333312 3305791644 4148444416 4407722192 6222666624 6611583288 8296888832 8815444384 12445333248 13223166576 17630888768 24890666496 26446333152 35261777536 52892666304 70523555072 105785332608 141047110144 211570665216 423141330432