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1145241200404 = 227329279110313
BaseRepresentation
bin10000101010100101101…
…100011110011100010100
311001111001211100212112201
4100222211230132130110
5122230423221403104
62234041101254244
7145512100405000
oct20524554363424
94044054325481
101145241200404
1140176a88a514
12165b56b64384
1383cc396a742
143d603ba1700
151ebcc6860a4
hex10aa5b1e714

1145241200404 has 96 divisors (see below), whose sum is σ = 2418921792000. Its totient is φ = 473677182720.

The previous prime is 1145241200381. The next prime is 1145241200419. The reversal of 1145241200404 is 4040021425411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 111043152 + ... + 111053464.

It is an arithmetic number, because the mean of its divisors is an integer number (25197102000).

Almost surely, 21145241200404 is an apocalyptic number.

1145241200404 is a gapful number since it is divisible by the number (14) 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 1145241200404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209460896000).

1145241200404 is an abundant number, since it is smaller than the sum of its proper divisors (1273680591596).

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

1145241200404 is a wasteful number, since it uses less digits than its factorization.

1145241200404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13158 (or 13142 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

Adding to 1145241200404 its reverse (4040021425411), we get a palindrome (5185262625815).

The spelling of 1145241200404 in words is "one trillion, one hundred forty-five billion, two hundred forty-one million, two hundred thousand, four hundred four".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 343 406 686 812 1372 1421 2791 2842 5582 5684 9947 10313 11164 19537 19894 20626 39074 39788 41252 72191 78148 80939 136759 144382 161878 273518 288764 299077 323756 505337 547036 566573 598154 957313 1010674 1133146 1196308 1914626 2021348 2093539 2266292 3537359 3829252 3966011 4187078 7074718 7932022 8374156 14149436 14654773 15864044 27762077 28783583 29309546 55524154 57567166 58619092 102583411 111048308 115134332 201485081 205166822 402970162 410333644 805940324 834723907 1410395567 1669447814 2820791134 3338895628 5641582268 5843067349 9872768969 11686134698 19745537938 23372269396 39491075876 40901471443 81802942886 163605885772 286310300101 572620600202 1145241200404