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44252525340342 = 232112932473330841
BaseRepresentation
bin10100000111111010110000…
…00011011010011010110110
312210200111111120121011001200
422003331120003122122312
521300013132441342332
6234041155100433330
712215065555035654
oct1203753003323266
9183614446534050
1044252525340342
1113111432991520
124b68529248846
131b8ccc26b45b7
14acdb95795dd4
1551b19a57517c
hex283f580da6b6

44252525340342 has 96 divisors (see below), whose sum is σ = 104961510684576. Its totient is φ = 13363115097600.

The previous prime is 44252525340313. The next prime is 44252525340371. The reversal of 44252525340342 is 24304352525244.

44252525340342 is a `hidden beast` number, since 4 + 4 + 2 + 5 + 252 + 53 + 4 + 0 + 342 = 666.

44252525340342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (44252525340313) and next prime (44252525340371).

It is a super-2 number, since 2×442525253403422 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1434844842 + ... + 1434875682.

It is an arithmetic number, because the mean of its divisors is an integer number (1093349069631).

Almost surely, 244252525340342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44252525340342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52480755342288).

44252525340342 is an abundant number, since it is smaller than the sum of its proper divisors (60708985344234).

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

44252525340342 is a wasteful number, since it uses less digits than its factorization.

44252525340342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55886 (or 55883 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 45.

Adding to 44252525340342 its reverse (24304352525244), we get a palindrome (68556877865586).

The spelling of 44252525340342 in words is "forty-four trillion, two hundred fifty-two billion, five hundred twenty-five million, three hundred forty thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 293 586 879 1758 2637 3223 5274 6446 9669 19338 24733 29007 30841 49466 58014 61682 74199 92523 148398 185046 222597 272063 277569 339251 445194 544126 555138 678502 816189 1017753 1632378 2035506 2448567 3053259 4897134 6106518 7246769 9036413 14493538 18072826 21740307 27109239 43480614 54218478 65220921 79714459 81327717 99400543 130441842 159428918 162655434 198801086 239143377 298201629 478286754 596403258 717430131 762790453 894604887 1434860262 1525580906 1789209774 2288371359 4576742718 6865114077 8390694983 13730228154 16781389966 25172084949 50344169898 75516254847 151032509694 223497602729 446995205458 670492808187 1340985616374 2011478424561 2458473630019 4022956849122 4916947260038 7375420890057 14750841780114 22126262670171 44252525340342