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4011410240012 = 22717591183312071
BaseRepresentation
bin111010010111111010101…
…011101011001000001100
3112012111011002001221200002
4322113322223223020030
51011210332010140022
612310452203023432
7562546325310020
oct72277253531014
915174132057602
104011410240012
11130725855989a
1254953120ab78
13231374a0b546
14dc2208bc380
156e52ca82092
hex3a5faaeb20c

4011410240012 has 96 divisors (see below), whose sum is σ = 8640175703040. Its totient is φ = 1590357104640.

The previous prime is 4011410240011. The next prime is 4011410240017. The reversal of 4011410240012 is 2100420141104.

It is a super-2 number, since 2×40114102400122 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4011410240011) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 332311937 + ... + 332324007.

It is an arithmetic number, because the mean of its divisors is an integer number (90001830240).

Almost surely, 24011410240012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4011410240012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4320087851520).

4011410240012 is an abundant number, since it is smaller than the sum of its proper divisors (4628765463028).

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

4011410240012 is a wasteful number, since it uses less digits than its factorization.

4011410240012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23991 (or 23989 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 4011410240012 its reverse (2100420141104), we get a palindrome (6111830381116).

The spelling of 4011410240012 in words is "four trillion, eleven billion, four hundred ten million, two hundred forty thousand, twelve".

Divisors: 1 2 4 7 14 17 28 34 59 68 118 119 236 238 413 476 826 1003 1652 2006 4012 7021 11833 12071 14042 23666 24142 28084 47332 48284 82831 84497 165662 168994 201161 205207 331324 337988 402322 410414 698147 712189 804644 820828 1396294 1408127 1424378 1436449 2792588 2816254 2848756 2872898 4887029 4985323 5632508 5745796 9774058 9970646 11868499 12107213 19548116 19941292 23736998 24214426 47473996 48428852 83079493 84750491 142836143 166158986 169500982 285672286 332317972 339001964 571344572 999853001 1999706002 2428214431 3999412004 4856428862 8427332437 9712857724 16854664874 16997501017 33709329748 33995002034 58991327059 67990004068 117982654118 143264651429 235965308236 286529302858 573058605716 1002852560003 2005705120006 4011410240012