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1042401104300 = 2252471201184669
BaseRepresentation
bin11110010101100111111…
…00101001000110101100
310200122121201120200212102
433022303330221012230
5114034314140314200
62114512241154232
7135211446122633
oct17126374510654
93618551520772
101042401104300
11372097280156
1214a03602b978
13773b493257a
143864988051a
151c1ade416d5
hexf2b3f291ac

1042401104300 has 72 divisors (see below), whose sum is σ = 2312074309440. Its totient is φ = 407746944000.

The previous prime is 1042401104191. The next prime is 1042401104333. The reversal of 1042401104300 is 34011042401.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5552366 + ... + 5737034.

Almost surely, 21042401104300 is an apocalyptic number.

1042401104300 is a gapful number since it is divisible by the number (10) 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 1042401104300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156037154720).

1042401104300 is an abundant number, since it is smaller than the sum of its proper divisors (1269673205140).

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

1042401104300 is a wasteful number, since it uses less digits than its factorization.

1042401104300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185931 (or 185924 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1042401104300 its reverse (34011042401), we get a palindrome (1076412146701).

The spelling of 1042401104300 in words is "one trillion, forty-two billion, four hundred one million, one hundred four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 1201 2350 2402 4700 4804 6005 12010 24020 30025 56447 60050 112894 120100 184669 225788 282235 369338 564470 738676 923345 1128940 1411175 1846690 2822350 3693380 4616725 5644700 8679443 9233450 17358886 18466900 34717772 43397215 86794430 173588860 216986075 221787469 433972150 443574938 867944300 887149876 1108937345 2217874690 4435749380 5544686725 10424011043 11089373450 20848022086 22178746900 41696044172 52120055215 104240110430 208480220860 260600276075 521200552150 1042401104300