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4142412345024 = 26328205187649
BaseRepresentation
bin111100010001111011000…
…001000010111011000000
3112200000021211122101221100
4330101323001002323000
51020332130030020044
612450555320454400
7605164560653232
oct74217301027300
915600254571840
104142412345024
11135787285a288
1256a9b161a400
132408213a9405
141046cb0c2252
1572b48890869
hex3c47b042ec0

4142412345024 has 84 divisors (see below), whose sum is σ = 11873757227800. Its totient is φ = 1380771532800.

The previous prime is 4142412344981. The next prime is 4142412345121. The reversal of 4142412345024 is 4205432142414.

4142412345024 is a `hidden beast` number, since 4 + 1 + 4 + 24 + 123 + 4 + 502 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4142412345024.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47217552 + ... + 47305200.

Almost surely, 24142412345024 is an apocalyptic number.

It is an amenable number.

4142412345024 is an abundant number, since it is smaller than the sum of its proper divisors (7731344882776).

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

4142412345024 is a wasteful number, since it uses less digits than its factorization.

4142412345024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169718 (or 169705 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 4142412345024 its reverse (4205432142414), we get a palindrome (8347844487438).

The spelling of 4142412345024 in words is "four trillion, one hundred forty-two billion, four hundred twelve million, three hundred forty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 82051 87649 164102 175298 246153 262947 328204 350596 492306 525894 656408 701192 738459 788841 984612 1051788 1312816 1402384 1476918 1577682 1969224 2103576 2625632 2804768 2953836 3155364 3938448 4207152 5251264 5609536 5907672 6310728 7876896 8414304 11815344 12621456 15753792 16828608 23630688 25242912 47261376 50485824 7191688099 14383376198 21575064297 28766752396 43150128594 57533504792 64725192891 86300257188 115067009584 129450385782 172600514376 230134019168 258900771564 345201028752 460268038336 517801543128 690402057504 1035603086256 1380804115008 2071206172512 4142412345024