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133421312514 = 23741251467661
BaseRepresentation
bin111110001000010000…
…1111010101000000010
3110202101100201221002010
41330100201322220002
54141221324000024
6141143133433350
712432206305260
oct1742041725002
9422340657063
10133421312514
1151646941936
1221a3663b856
13c7739502c9
146659a23430
15370d3cab29
hex1f1087aa02

133421312514 has 128 divisors (see below), whose sum is σ = 314792884224. Its totient is φ = 36907200000.

The previous prime is 133421312509. The next prime is 133421312527. The reversal of 133421312514 is 415213124331.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201847344 + ... + 201848004.

It is an arithmetic number, because the mean of its divisors is an integer number (2459319408).

Almost surely, 2133421312514 is an apocalyptic number.

133421312514 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133421312514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157396442112).

133421312514 is an abundant number, since it is smaller than the sum of its proper divisors (181371571710).

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

133421312514 is a wasteful number, since it uses less digits than its factorization.

133421312514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432.

The product of its digits is 8640, while the sum is 30.

Adding to 133421312514 its reverse (415213124331), we get a palindrome (548634436845).

The spelling of 133421312514 in words is "one hundred thirty-three billion, four hundred twenty-one million, three hundred twelve thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 246 251 287 467 502 574 661 753 861 934 1322 1401 1506 1722 1757 1983 2802 3269 3514 3966 4627 5271 6538 9254 9807 10291 10542 13881 19147 19614 20582 27101 27762 30873 38294 54202 57441 61746 72037 81303 114882 117217 134029 144074 162606 165911 189707 216111 234434 268058 308687 331822 351651 379414 402087 432222 497733 569121 617374 703302 804174 820519 926061 995466 1138242 1161377 1641038 1852122 2160809 2322754 2461557 3484131 4321618 4805897 4923114 6482427 6802351 6968262 9611794 12656167 12964854 13604702 14417691 20407053 25312334 28835382 33641279 37968501 40814106 47616457 67282558 75937002 77480437 88593169 95232914 100923837 142849371 154960874 177186338 201847674 232441311 265779507 285698742 464882622 531559014 542363059 1084726118 1627089177 3176697917 3254178354 6353395834 9530093751 19060187502 22236885419 44473770838 66710656257 133421312514