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420032412432 = 24339710023683
BaseRepresentation
bin1100001110010111110…
…00011111101100010000
31111011011210002100202000
412013023320133230100
523340211244144212
6520543224154000
742226536411543
oct6071370375420
91434153070660
10420032412432
1115215338a356
12694a4008900
13307bb954019
14164888c485a
15add54181dc
hex61cbe1fb10

420032412432 has 80 divisors (see below), whose sum is σ = 1218078079680. Its totient is φ = 138567379968.

The previous prime is 420032412409. The next prime is 420032412451. The reversal of 420032412432 is 234214230024.

420032412432 is a `hidden beast` number, since 4 + 200 + 3 + 2 + 412 + 43 + 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 = 420032412396 and 420032412405.

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, 4969938 + ... + 5053745.

It is an arithmetic number, because the mean of its divisors is an integer number (15225975996).

Almost surely, 2420032412432 is an apocalyptic number.

It is an amenable number.

420032412432 is an abundant number, since it is smaller than the sum of its proper divisors (798045667248).

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

420032412432 is a wasteful number, since it uses less digits than its factorization.

420032412432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10023797 (or 10023785 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 420032412432 its reverse (234214230024), we get a palindrome (654246642456).

The spelling of 420032412432 in words is "four hundred twenty billion, thirty-two million, four hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 97 108 144 194 216 291 388 432 582 776 873 1164 1552 1746 2328 2619 3492 4656 5238 6984 10476 13968 20952 41904 10023683 20047366 30071049 40094732 60142098 80189464 90213147 120284196 160378928 180426294 240568392 270639441 360852588 481136784 541278882 721705176 972297251 1082557764 1443410352 1944594502 2165115528 2916891753 3889189004 4330231056 5833783506 7778378008 8750675259 11667567012 15556756016 17501350518 23335134024 26252025777 35002701036 46670268048 52504051554 70005402072 105008103108 140010804144 210016206216 420032412432