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20042040400440 = 2335265762859241
BaseRepresentation
bin1001000111010011001101…
…01100101101101000111000
32121222000000020220010100220
410203221212230231220320
510111332044320303230
6110343104121500040
74135663305361002
oct443514654555070
977860006803326
1020042040400440
116427866347133
1222b8346941620
13b24c57cb7526
144d407b7dd372
1524b515a60d10
hex123a66b2da38

20042040400440 has 64 divisors (see below), whose sum is σ = 60148751484960. Its totient is φ = 5342532526080.

The previous prime is 20042040400433. The next prime is 20042040400451. The reversal of 20042040400440 is 4400404024002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20042040400440.

It is a congruent number.

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, 31110781 + ... + 31748460.

Almost surely, 220042040400440 is an apocalyptic number.

20042040400440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20042040400440 is an abundant number, since it is smaller than the sum of its proper divisors (40106711084520).

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

20042040400440 is a wasteful number, since it uses less digits than its factorization.

20042040400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62861912 (or 62861908 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 20042040400440 its reverse (4400404024002), we get a palindrome (24442444424442).

The spelling of 20042040400440 in words is "twenty trillion, forty-two billion, forty million, four hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2657 5314 7971 10628 13285 15942 21256 26570 31884 39855 53140 63768 79710 106280 159420 318840 62859241 125718482 188577723 251436964 314296205 377155446 502873928 628592410 754310892 942888615 1257184820 1508621784 1885777230 2514369640 3771554460 7543108920 167017003337 334034006674 501051010011 668068013348 835085016685 1002102020022 1336136026696 1670170033370 2004204040044 2505255050055 3340340066740 4008408080088 5010510100110 6680680133480 10021020200220 20042040400440