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40404011100 = 223521937191579
BaseRepresentation
bin100101101000010001…
…000100100001011100
310212021211021102112120
4211220101010201130
51130221411323400
630321130102540
72630151266505
oct455021044134
9125254242476
1040404011100
1116154013612
1279b727aa50
133a6b99979b
141d540d7bac
1510b71ddca0
hex96844485c

40404011100 has 144 divisors (see below), whose sum is σ = 126381494400. Its totient is φ = 9931403520.

The previous prime is 40404011099. The next prime is 40404011111. The reversal of 40404011100 is 111040404.

It is a super-2 number, since 2×404040111002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40404011100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115111 + ... + 306689.

Almost surely, 240404011100 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 40404011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63190747200).

40404011100 is an abundant number, since it is smaller than the sum of its proper divisors (85977483300).

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

40404011100 is a wasteful number, since it uses less digits than its factorization.

40404011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191652 (or 191645 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 40404011100 its reverse (111040404), we get a palindrome (40515051504).

The spelling of 40404011100 in words is "forty billion, four hundred four million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 37 38 50 57 60 74 75 76 95 100 111 114 148 150 185 190 222 228 285 300 370 380 444 475 555 570 703 740 925 950 1110 1140 1406 1425 1850 1900 2109 2220 2775 2812 2850 3515 3700 4218 5550 5700 7030 8436 10545 11100 14060 17575 21090 35150 42180 52725 70300 105450 191579 210900 383158 574737 766316 957895 1149474 1915790 2298948 2873685 3640001 3831580 4789475 5747370 7088423 7280002 9578950 10920003 11494740 14176846 14368425 14560004 18200005 19157900 21265269 21840006 28353692 28736850 35442115 36400010 42530538 43680012 54600015 57473700 70884230 72800020 85061076 91000025 106326345 109200030 134680037 141768460 177210575 182000050 212652690 218400060 269360074 273000075 354421150 364000100 404040111 425305380 531631725 538720148 546000150 673400185 708842300 808080222 1063263450 1092000300 1346800370 1616160444 2020200555 2126526900 2693600740 3367000925 4040401110 6734001850 8080802220 10101002775 13468003700 20202005550 40404011100