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42152405145444 = 22341114979377679
BaseRepresentation
bin10011001010110010111110…
…01000101001011101100100
312112020201201120221102110000
421211121133020221131210
521011111111204123234
6225352314140301300
711610260615646636
oct1145313710513544
9175221646842400
1042152405145444
1112481809880410
124889503241830
131a69c54778c69
14a5a289d18a56
154d1732a19899
hex26565f229764

42152405145444 has 120 divisors (see below), whose sum is σ = 121019210928000. Its totient is φ = 12687728051520.

The previous prime is 42152405145317. The next prime is 42152405145457. The reversal of 42152405145444 is 44454150425124.

42152405145444 is a `hidden beast` number, since 4 + 2 + 1 + 5 + 2 + 40 + 514 + 54 + 44 = 666.

42152405145444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42152405145444.

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 39 ways as a sum of consecutive naturals, for example, 39157804 + ... + 40219875.

It is an arithmetic number, because the mean of its divisors is an integer number (1008493424400).

Almost surely, 242152405145444 is an apocalyptic number.

42152405145444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42152405145444 is an abundant number, since it is smaller than the sum of its proper divisors (78866805782556).

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

42152405145444 is a wasteful number, since it uses less digits than its factorization.

42152405145444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79377855 (or 79377844 counting only the distinct ones).

The product of its (nonzero) digits is 2048000, while the sum is 45.

The spelling of 42152405145444 in words is "forty-two trillion, one hundred fifty-two billion, four hundred five million, one hundred forty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 149 162 198 297 298 324 396 447 594 596 891 894 1188 1341 1639 1782 1788 2682 3278 3564 4023 4917 5364 6556 8046 9834 12069 14751 16092 19668 24138 29502 44253 48276 59004 88506 132759 177012 265518 531036 79377679 158755358 238133037 317510716 476266074 714399111 873154469 952532148 1428798222 1746308938 2143197333 2619463407 2857596444 3492617876 4286394666 5238926814 6429591999 7858390221 8572789332 10477853628 11827274171 12859183998 15716780442 23575170663 23654548342 25718367996 31433560884 35481822513 47150341326 47309096684 70725511989 70963645026 94300682652 106445467539 130100015881 141451023978 141927290052 212890935078 260200031762 282902047956 319336402617 390300047643 425781870156 520400063524 638672805234 780600095286 958009207851 1170900142929 1277345610468 1561200190572 1916018415702 2341800285858 3512700428787 3832036831404 4683600571716 7025400857574 10538101286361 14050801715148 21076202572722 42152405145444