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40232001304 = 231117233593257
BaseRepresentation
bin100101011110000000…
…111001111100011000
310211211211121102110101
4211132000321330120
51124343343020204
630252103225144
72622662240305
oct453600717430
9124754542411
1040232001304
1116075a09060
1279697481b4
133a42162741
141d393200ac
1510a7062ea4
hex95e039f18

40232001304 has 128 divisors (see below), whose sum is σ = 91203148800. Its totient is φ = 16412323840.

The previous prime is 40232001301. The next prime is 40232001311. The reversal of 40232001304 is 40310023204.

It is a super-2 number, since 2×402320013042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40232001301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12350844 + ... + 12354100.

It is an arithmetic number, because the mean of its divisors is an integer number (712524600).

Almost surely, 240232001304 is an apocalyptic number.

40232001304 is a gapful number since it is divisible by the number (44) 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 40232001304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45601574400).

40232001304 is an abundant number, since it is smaller than the sum of its proper divisors (50971147496).

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

40232001304 is a wasteful number, since it uses less digits than its factorization.

40232001304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3673 (or 3669 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 40232001304 its reverse (40310023204), we get a palindrome (80542024508).

The spelling of 40232001304 in words is "forty billion, two hundred thirty-two million, one thousand, three hundred four".

Divisors: 1 2 4 8 11 17 22 23 34 44 46 68 88 92 136 184 187 253 359 374 391 506 718 748 782 1012 1436 1496 1564 2024 2872 3128 3257 3949 4301 6103 6514 7898 8257 8602 12206 13028 15796 16514 17204 24412 26056 31592 33028 34408 35827 48824 55369 66056 67133 71654 74911 90827 110738 134266 140369 143308 149822 181654 221476 268532 280738 286616 299644 363308 442952 537064 561476 599288 609059 726616 824021 1122952 1169263 1218118 1273487 1544059 1648042 2338526 2436236 2546974 3088118 3296084 4677052 4872472 5093948 6176236 6592168 9354104 10187896 12352472 12861893 14008357 19877471 25723786 26893049 28016714 39754942 51447572 53786098 56033428 79509884 102895144 107572196 112066856 159019768 215144392 218652181 295823539 437304362 457181833 591647078 874608724 914363666 1183294156 1749217448 1828727332 2366588312 3657454664 5029000163 10058000326 20116000652 40232001304