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40404110442020 = 22513235141340169
BaseRepresentation
bin10010010111111010100001…
…01001100111111000100100
312022001121001221000110201122
421023331100221213320210
520243440104233121040
6221533220405313112
711340046344113513
oct1113752051477044
9168047057013648
1040404110442020
1111968318014396
124646706a05798
131971125685b00
149d97d854067a
154a100c4041b5
hex24bf50a67e24

40404110442020 has 72 divisors (see below), whose sum is σ = 91880397320040. Its totient is φ = 14917972392960.

The previous prime is 40404110442001. The next prime is 40404110442061. The reversal of 40404110442020 is 2024401140404.

40404110442020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 20271533721664 + 20132576720356 = 4502392^2 + 4486934^2 .

It is a super-2 number, since 2×404041104420202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118606496 + ... + 118946664.

It is an arithmetic number, because the mean of its divisors is an integer number (1276116629445).

Almost surely, 240404110442020 is an apocalyptic number.

It is an amenable number.

40404110442020 is an abundant number, since it is smaller than the sum of its proper divisors (51476286878020).

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

40404110442020 is a wasteful number, since it uses less digits than its factorization.

40404110442020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375345 (or 375330 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 40404110442020 its reverse (2024401140404), we get a palindrome (42428511582424).

The spelling of 40404110442020 in words is "forty trillion, four hundred four billion, one hundred ten million, four hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 35141 70282 140564 175705 340169 351410 456833 680338 702820 913666 1360676 1700845 1827332 2284165 3401690 4422197 4568330 5938829 6803380 8844394 9136660 11877658 17688788 22110985 23755316 29694145 44221970 57488561 59388290 88443940 114977122 118776580 229954244 287442805 574885610 1149771220 11953878829 23907757658 47815515316 59769394145 119538788290 155400424777 239077576580 310800849554 621601699108 777002123885 1554004247770 2020205522101 3108008495540 4040411044202 8080822088404 10101027610505 20202055221010 40404110442020