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40224432204 = 223211210389653
BaseRepresentation
bin100101011101100100…
…000010000001001100
310211211022100212121100
4211131210002001030
51124334423312304
630251233103100
72622541014045
oct453544020114
9124738325540
1040224432204
1116071709300
1279670b7a90
133a40712498
141d3830d8cc
1510a656a439
hex95d90204c

40224432204 has 108 divisors (see below), whose sum is σ = 112848565648. Its totient is φ = 12070745280.

The previous prime is 40224432197. The next prime is 40224432247. The reversal of 40224432204 is 40223442204.

40224432204 is a `hidden beast` number, since 4 + 0 + 2 + 24 + 432 + 204 = 666.

It is a super-2 number, since 2×402244322042 (a number of 22 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 403842 + ... + 493494.

Almost surely, 240224432204 is an apocalyptic number.

40224432204 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 40224432204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56424282824).

40224432204 is an abundant number, since it is smaller than the sum of its proper divisors (72624133444).

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

40224432204 is a wasteful number, since it uses less digits than its factorization.

40224432204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89788 (or 89772 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 40224432204 its reverse (40223442204), we get a palindrome (80447874408).

The spelling of 40224432204 in words is "forty billion, two hundred twenty-four million, four hundred thirty-two thousand, two hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 103 121 132 198 206 242 309 363 396 412 484 618 726 927 1089 1133 1236 1452 1854 2178 2266 3399 3708 4356 4532 6798 10197 12463 13596 20394 24926 37389 40788 49852 74778 89653 112167 149556 179306 224334 268959 358612 448668 537918 806877 986183 1075836 1613754 1972366 2958549 3227508 3944732 5917098 8875647 9234259 10848013 11834196 17751294 18468518 21696026 27702777 32544039 35502588 36937036 43392052 55405554 65088078 83108331 97632117 101576849 110811108 130176156 166216662 195264234 203153698 304730547 332433324 390528468 406307396 609461094 914191641 1117345339 1218922188 1828383282 2234690678 3352036017 3656766564 4469381356 6704072034 10056108051 13408144068 20112216102 40224432204