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40420200420 = 2234524950741
BaseRepresentation
bin100101101001001110…
…110100111111100100
310212022221201221010000
4211221032310333210
51130240032403140
630322505101300
72630436014625
oct455116647744
9125287657100
1040420200420
1116162170916
127a00787830
133a72147572
141d5630da4c
1510b883aa30
hex9693b4fe4

40420200420 has 60 divisors (see below), whose sum is σ = 126799670844. Its totient is φ = 10778719680.

The previous prime is 40420200407. The next prime is 40420200473. The reversal of 40420200420 is 2400202404.

40420200420 is a `hidden beast` number, since 4 + 0 + 42 + 0 + 200 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9322288704 + 31097911716 = 96552^2 + 176346^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40420200393 and 40420200402.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12473751 + ... + 12476990.

Almost surely, 240420200420 is an apocalyptic number.

It is an amenable number.

40420200420 is an abundant number, since it is smaller than the sum of its proper divisors (86379470424).

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

40420200420 is a wasteful number, since it uses less digits than its factorization.

40420200420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24950762 (or 24950751 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 40420200420 its reverse (2400202404), we get a palindrome (42820402824).

The spelling of 40420200420 in words is "forty billion, four hundred twenty million, two hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 24950741 49901482 74852223 99802964 124753705 149704446 224556669 249507410 299408892 374261115 449113338 499014820 673670007 748522230 898226676 1122783345 1347340014 1497044460 2021010021 2245566690 2694680028 3368350035 4042020042 4491133380 6736700070 8084040084 10105050105 13473400140 20210100210 40420200420