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2243141450325 = 35521912338297
BaseRepresentation
bin100000101001000101101…
…001100011101001010101
321221102221101101021200000
4200221011221203221111
5243222423202402300
64434252430041513
7321030064506126
oct40510551435125
97842841337600
102243141450325
11795346963166
1230289b649299
131336b1714839
147a7d644604d
153d538b1dc00
hex20a45a63a55

2243141450325 has 144 divisors (see below), whose sum is σ = 4206816746496. Its totient is φ = 1184828083200.

The previous prime is 2243141450279. The next prime is 2243141450371. The reversal of 2243141450325 is 5230541413422.

It is a happy number.

2243141450325 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 141 + 4 + 503 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (2243141450279) and next prime (2243141450371).

It is not a de Polignac number, because 2243141450325 - 214 = 2243141433941 is a prime.

It is a super-3 number, since 3×22431414503253 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2243141450325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 270351577 + ... + 270359873.

It is an arithmetic number, because the mean of its divisors is an integer number (29214005184).

Almost surely, 22243141450325 is an apocalyptic number.

2243141450325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2243141450325 is a deficient number, since it is larger than the sum of its proper divisors (1963675296171).

2243141450325 is a wasteful number, since it uses less digits than its factorization.

2243141450325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8746 (or 8729 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 2243141450325 its reverse (5230541413422), we get a palindrome (7473682863747).

The spelling of 2243141450325 in words is "two trillion, two hundred forty-three billion, one hundred forty-one million, four hundred fifty thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 191 225 233 243 405 573 675 699 955 1165 1215 1719 2025 2097 2865 3495 4775 5157 5825 6075 6291 8297 8595 10485 14325 15471 17475 18873 24891 25785 31455 41485 42975 44503 46413 52425 56619 74673 77355 94365 124455 128925 133509 157275 207425 222515 224019 232065 283095 373365 386775 400527 471825 622275 667545 672057 1112575 1120095 1160325 1201581 1415475 1584727 1866825 1933201 2002635 2016171 3337725 3360285 3604743 4754181 5600475 5799603 6007905 7923635 9666005 10013175 10080855 10814229 14262543 16801425 17398809 18023715 23770905 28998015 30039525 39618175 42787629 48330025 50404275 52196427 54071145 71312715 86994045 90118575 118854525 128362887 144990075 156589281 213938145 260982135 270355725 356563575 369241391 385088661 434970225 469767843 641814435 782946405 1069690725 1107724173 1304910675 1846206955 1925443305 2348839215 3209072175 3323172519 3914732025 5538620865 9231034775 9627216525 9969517557 11744196075 16615862595 27693104325 29908552671 49847587785 83079312975 89725658013 149542763355 249237938925 448628290065 747713816775 2243141450325