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20402442244440 = 23325232464063073
BaseRepresentation
bin1001010001110010100000…
…10100101001000101011000
32200020110021021112202012100
410220321100110221011120
510133233200203310230
6111220430320043400
74204012352453034
oct450712024510530
980213237482170
1020402442244440
116556699835873
122356168763560
13b4cc328ac019
145076aa9191c4
15255aaad9c660
hex128e50529158

20402442244440 has 96 divisors (see below), whose sum is σ = 69190891117920. Its totient is φ = 5204101208064.

The previous prime is 20402442244411. The next prime is 20402442244451. The reversal of 20402442244440 is 4444224420402.

20402442244440 is a `hidden beast` number, since 2 + 0 + 402 + 4 + 4 + 2 + 244 + 4 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20402442244395 and 20402442244404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1232023257 + ... + 1232039816.

It is an arithmetic number, because the mean of its divisors is an integer number (720738449145).

Almost surely, 220402442244440 is an apocalyptic number.

20402442244440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20402442244440 is an abundant number, since it is smaller than the sum of its proper divisors (48788448873480).

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

20402442244440 is a wasteful number, since it uses less digits than its factorization.

20402442244440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464063113 (or 2464063106 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 20402442244440 its reverse (4444224420402), we get a palindrome (24846666664842).

The spelling of 20402442244440 in words is "twenty trillion, four hundred two billion, four hundred forty-two million, two hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 8280 2464063073 4928126146 7392189219 9856252292 12320315365 14784378438 19712504584 22176567657 24640630730 29568756876 36960946095 44353135314 49281261460 56673450679 59137513752 73921892190 88706270628 98562522920 110882838285 113346901358 147843784380 170020352037 177412541256 221765676570 226693802716 283367253395 295687568760 340040704074 443531353140 453387605432 510061056111 566734506790 680081408148 850101760185 887062706280 1020122112222 1133469013580 1360162816296 1700203520370 2040244224444 2266938027160 2550305280555 3400407040740 4080488448888 5100610561110 6800814081480 10201221122220 20402442244440