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42244330134402 = 232111074634306639
BaseRepresentation
bin10011001101011110001100…
…10010101001101110000010
312112120112000000000200222200
421212233012102221232002
521014112342003300102
6225502435524014030
711620023611321124
oct1146570622515602
9175515000020880
1042244330134402
11125077a1065170
1248a3298831316
131a75814340c56
14a608ca747214
154d3d12d8d51c
hex266bc64a9b82

42244330134402 has 96 divisors (see below), whose sum is σ = 101001112842240. Its totient is φ = 12654280568160.

The previous prime is 42244330134379. The next prime is 42244330134403. The reversal of 42244330134402 is 20443103344224.

42244330134402 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 4 + 3 + 301 + 344 + 0 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (42244330134403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7655799 + ... + 11962437.

It is an arithmetic number, because the mean of its divisors is an integer number (1052094925440).

Almost surely, 242244330134402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42244330134402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50500556421120).

42244330134402 is an abundant number, since it is smaller than the sum of its proper divisors (58756782707838).

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

42244330134402 is a wasteful number, since it uses less digits than its factorization.

42244330134402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4307228 (or 4307225 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 42244330134402 its reverse (20443103344224), we get a palindrome (62687433478626).

The spelling of 42244330134402 in words is "forty-two trillion, two hundred forty-four billion, three hundred thirty million, one hundred thirty-four thousand, four hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 107 198 214 321 463 642 926 963 1177 1389 1926 2354 2778 3531 4167 5093 7062 8334 10186 10593 15279 21186 30558 45837 49541 91674 99082 148623 297246 445869 544951 891738 1089902 1634853 3269706 4306639 4904559 8613278 9809118 12919917 25839834 38759751 47373029 77519502 94746058 142119087 284238174 426357261 460810373 852714522 921620746 1382431119 1993973857 2764862238 3987947714 4147293357 5068914103 5981921571 8294586714 10137828206 11963843142 15206742309 17945764713 21933712427 30413484618 35891529426 43867424854 45620226927 65801137281 91240453854 131602274562 197403411843 213355202699 394806823686 426710405398 640065608097 1280131216194 1920196824291 2346907229689 3840393648582 4693814459378 7040721689067 14081443378134 21122165067201 42244330134402