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40400333450204 = 227132611371021621
BaseRepresentation
bin10010010111110011011111…
…00001100010101111011100
312022001020022200221101222212
421023321233201202233130
520243404340330401304
6221531353523255552
711336553632162540
oct1113715741425734
9168036280841885
1040400333450204
1111966759aa8552
124645a31b1a5b8
131970973016100
149d955aa7ba20
154a0d8aa3066e
hex24be6f862bdc

40400333450204 has 144 divisors (see below), whose sum is σ = 89577745782336. Its totient is φ = 15605776742400.

The previous prime is 40400333450161. The next prime is 40400333450233. The reversal of 40400333450204 is 40205433300404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39034514 + ... + 40056134.

It is an arithmetic number, because the mean of its divisors is an integer number (622067679044).

Almost surely, 240400333450204 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 40400333450204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44788872891168).

40400333450204 is an abundant number, since it is smaller than the sum of its proper divisors (49177412332132).

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

40400333450204 is a wasteful number, since it uses less digits than its factorization.

40400333450204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021856 (or 1021841 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 32.

Adding to 40400333450204 its reverse (40205433300404), we get a palindrome (80605766750608).

The spelling of 40400333450204 in words is "forty trillion, four hundred billion, three hundred thirty-three million, four hundred fifty thousand, two hundred four".

Divisors: 1 2 4 7 13 14 26 28 52 61 91 122 137 169 182 244 274 338 364 427 548 676 793 854 959 1183 1586 1708 1781 1918 2366 3172 3562 3836 4732 5551 7124 8357 10309 11102 12467 16714 20618 22204 23153 24934 33428 41236 46306 49868 58499 72163 92612 108641 116998 144326 162071 217282 233996 288652 324142 434564 648284 760487 1021621 1412333 1520974 2043242 2824666 3041948 4086484 5649332 7151347 9886331 13281073 14302694 19772662 26562146 28605388 39545324 53124292 62318881 92967511 124637762 139962077 172653949 185935022 249275524 279924154 345307898 371870044 436232167 559848308 690615796 810145453 872464334 979734539 1208577643 1620290906 1744928668 1819507001 1959469078 2417155286 3240581812 3639014002 3918938156 4834310572 5671018171 7278028004 8537686697 10531890889 11342036342 12736549007 17075373394 21063781778 22684072684 23653591013 25473098014 34150746788 42127563556 47307182026 50946196028 59763806879 73723236223 94614364052 110989927061 119527613758 147446472446 165575137091 221979854122 239055227516 294892944892 331150274182 443959708244 662300548364 776929489427 1442869051793 1553858978854 2885738103586 3107717957708 5771476207172 10100083362551 20200166725102 40400333450204