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4014204212000 = 25531283782191
BaseRepresentation
bin111010011010100001001…
…101110101001100100000
3112012202100210102102201002
4322122201031311030200
51011232042234241000
612312033331331132
7563005502550653
oct72324115651440
915182323372632
104014204212000
11130846169a354
12549b90a50aa8
132316cb807ac8
14dc4079b389a
156e642eca8d5
hex3a6a1375320

4014204212000 has 96 divisors (see below), whose sum is σ = 9870599741184. Its totient is φ = 1604428128000.

The previous prime is 4014204211991. The next prime is 4014204212021. The reversal of 4014204212000 is 2124024104.

It is a super-2 number, since 2×40142042120002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4740905 + ... + 5523095.

It is an arithmetic number, because the mean of its divisors is an integer number (102818747304).

Almost surely, 24014204212000 is an apocalyptic number.

4014204212000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4014204212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4935299870592).

4014204212000 is an abundant number, since it is smaller than the sum of its proper divisors (5856395529184).

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

4014204212000 is a wasteful number, since it uses less digits than its factorization.

4014204212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783499 (or 783481 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 4014204212000 its reverse (2124024104), we get a palindrome (4016328236104).

The spelling of 4014204212000 in words is "four trillion, fourteen billion, two hundred four million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 1283 2000 2566 4000 5132 6415 10264 12830 20528 25660 32075 41056 51320 64150 102640 128300 160375 205280 256600 320750 513200 641500 782191 1026400 1283000 1564382 2566000 3128764 3910955 5132000 6257528 7821910 12515056 15643820 19554775 25030112 31287640 39109550 62575280 78219100 97773875 125150560 156438200 195547750 312876400 391095500 625752800 782191000 1003551053 1564382000 2007102106 3128764000 4014204212 5017755265 8028408424 10035510530 16056816848 20071021060 25088776325 32113633696 40142042120 50177552650 80284084240 100355105300 125443881625 160568168480 200710210600 250887763250 401420421200 501775526500 802840842400 1003551053000 2007102106000 4014204212000