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202240234413045 = 34510142557116177
BaseRepresentation
bin101101111110111110111001…
…010101001101101111110101
3222112001222101122220112210000
4231332332321111031233311
5203002001000002204140
61554043514151421513
760412242353533413
oct5576767125155765
9875058348815700
10202240234413045
1159492668a30364
121a823619384899
1388b023163a7ca
1437d269dd422b3
15185aaec87da30
hexb7efb954dbf5

202240234413045 has 80 divisors (see below), whose sum is σ = 366135549748848. Its totient is φ = 106790094489600.

The previous prime is 202240234413031. The next prime is 202240234413101. The reversal of 202240234413045 is 540314432042202.

202240234413045 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 4 + 0 + 2 + 344 + 1 + 304 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 35969370517809 + 166270863895236 = 5997447^2 + 12894606^2 .

It is not a de Polignac number, because 202240234413045 - 218 = 202240234150901 is a prime.

It is a super-2 number, since 2×2022402344130452 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1740735997 + ... + 1740852173.

Almost surely, 2202240234413045 is an apocalyptic number.

It is an amenable number.

202240234413045 is a deficient number, since it is larger than the sum of its proper divisors (163895315335803).

202240234413045 is a wasteful number, since it uses less digits than its factorization.

202240234413045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158852 (or 158843 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 202240234413045 its reverse (540314432042202), we get a palindrome (742554666455247).

The spelling of 202240234413045 in words is "two hundred two trillion, two hundred forty billion, two hundred thirty-four million, four hundred thirteen thousand, forty-five".

Divisors: 1 3 5 9 15 27 45 81 101 135 303 405 505 909 1515 2727 4545 8181 13635 40905 42557 116177 127671 212785 348531 383013 580885 638355 1045593 1149039 1742655 1915065 3136779 3447117 4298257 5227965 5745195 9410337 11733877 12894771 15683895 17235585 21491285 35201631 38684313 47051685 58669385 64473855 105604893 116052939 176008155 193421565 316814679 348158817 528024465 580264695 950444037 1584073395 1740794085 4752220185 4944144589 14832433767 24720722945 44497301301 74162168835 133491903903 222486506505 400475711709 499358603489 667459519515 1498075810467 2002378558545 2496793017445 4494227431401 7490379052335 13482682294203 22471137157005 40448046882609 67413411471015 202240234413045