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20042040442440 = 2335612737983667
BaseRepresentation
bin1001000111010011001101…
…01100110111111001001000
32121222000000020222020222110
410203221212230313321020
510111332044323124230
6110343104122422320
74135663305624312
oct443514654677110
977860006866873
1020042040442440
116427866375745
1222b83469619a0
13b24c58000693
144d407b8107b2
1524b515a6d4b0
hex123a66b37e48

20042040442440 has 64 divisors (see below), whose sum is σ = 61111795469760. Its totient is φ = 5256928638720.

The previous prime is 20042040442397. The next prime is 20042040442477. The reversal of 20042040442440 is 4424404024002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20042040442398 and 20042040442407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1368984514 + ... + 1368999153.

It is an arithmetic number, because the mean of its divisors is an integer number (954871804215).

Almost surely, 220042040442440 is an apocalyptic number.

20042040442440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20042040442440 is an abundant number, since it is smaller than the sum of its proper divisors (41069755027320).

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

20042040442440 is a wasteful number, since it uses less digits than its factorization.

20042040442440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737983742 (or 2737983738 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 20042040442440 its reverse (4424404024002), we get a palindrome (24466444466442).

The spelling of 20042040442440 in words is "twenty trillion, forty-two billion, forty million, four hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 488 610 732 915 1220 1464 1830 2440 3660 7320 2737983667 5475967334 8213951001 10951934668 13689918335 16427902002 21903869336 27379836670 32855804004 41069755005 54759673340 65711608008 82139510010 109519346680 164279020020 167017003687 328558040040 334034007374 501051011061 668068014748 835085018435 1002102022122 1336136029496 1670170036870 2004204044244 2505255055305 3340340073740 4008408088488 5010510110610 6680680147480 10021020221220 20042040442440