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4113242404000 = 25531263781373
BaseRepresentation
bin111011110110110000010…
…110100011010010100000
3112120012222221020212102021
4323312300112203102200
51014342410023412000
612425333015431224
7603112660363342
oct73666026432240
915505887225367
104113242404000
111346464117904
12565210685514
1323ab52c8cc92
14103120dc9292
1571edca7a11a
hex3bdb05a34a0

4113242404000 has 96 divisors (see below), whose sum is σ = 10107160526736. Its totient is φ = 1645146547200.

The previous prime is 4113242403967. The next prime is 4113242404013. The reversal of 4113242404000 is 4042423114.

It can be written as a sum of positive squares in 8 ways, for example, as 141336898704 + 3971905505296 = 375948^2 + 1992964^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 50507314 + ... + 50588686.

Almost surely, 24113242404000 is an apocalyptic number.

4113242404000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4113242404000 is an abundant number, since it is smaller than the sum of its proper divisors (5993918122736).

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

4113242404000 is a wasteful number, since it uses less digits than its factorization.

4113242404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94035 (or 94017 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 4113242404000 its reverse (4042423114), we get a palindrome (4117284827114).

The spelling of 4113242404000 in words is "four trillion, one hundred thirteen billion, two hundred forty-two million, four hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 12637 25274 50548 63185 81373 101096 126370 162746 202192 252740 315925 325492 404384 406865 505480 631850 650984 813730 1010960 1263700 1301968 1579625 1627460 2021920 2034325 2527400 2603936 3159250 3254920 4068650 5054800 6318500 6509840 8137300 10109600 10171625 12637000 13019680 16274600 20343250 25274000 32549200 40686500 50548000 65098400 81373000 162746000 325492000 1028310601 2056621202 4113242404 5141553005 8226484808 10283106010 16452969616 20566212020 25707765025 32905939232 41132424040 51415530050 82264848080 102831060100 128538825125 164529696160 205662120200 257077650250 411324240400 514155300500 822648480800 1028310601000 2056621202000 4113242404000