Search a number
-
+
15041235240120 = 2335672577279379
BaseRepresentation
bin1101101011100000111101…
…1110111100010010111000
31222020221001112201121122010
43122320033132330102320
53432413422210140440
651553503103525520
73111456555020415
oct332701736742270
958227045647563
1015041235240120
114879a52194821
12182b1132b98a0
138514c818464b
1439dddd14710c
151b13cc7e8580
hexdae0f7bc4b8

15041235240120 has 128 divisors (see below), whose sum is σ = 45975399379200. Its totient is φ = 3935755862016.

The previous prime is 15041235240103. The next prime is 15041235240121. The reversal of 15041235240120 is 2104253214051.

It is a super-2 number, since 2×150412352401202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15041235240121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1573410 + ... + 5705969.

It is an arithmetic number, because the mean of its divisors is an integer number (359182807650).

Almost surely, 215041235240120 is an apocalyptic number.

15041235240120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15041235240120 is an abundant number, since it is smaller than the sum of its proper divisors (30934164139080).

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

15041235240120 is a wasteful number, since it uses less digits than its factorization.

15041235240120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7279717 (or 7279713 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 15041235240120 its reverse (2104253214051), we get a palindrome (17145488454171).

The spelling of 15041235240120 in words is "fifteen trillion, forty-one billion, two hundred thirty-five million, two hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 257 268 335 402 514 536 670 771 804 1005 1028 1285 1340 1542 1608 2010 2056 2570 2680 3084 3855 4020 5140 6168 7710 8040 10280 15420 17219 30840 34438 51657 68876 86095 103314 137752 172190 206628 258285 344380 413256 516570 688760 1033140 2066280 7279379 14558758 21838137 29117516 36396895 43676274 58235032 72793790 87352548 109190685 145587580 174705096 218381370 291175160 436762740 487718393 873525480 975436786 1463155179 1870800403 1950873572 2438591965 2926310358 3741600806 3901747144 4877183930 5612401209 5852620716 7315775895 7483201612 9354002015 9754367860 11224802418 11705241432 14631551790 14966403224 18708004030 19508735720 22449604836 28062006045 29263103580 37416008060 44899209672 56124012090 58526207160 74832016120 112248024180 125343627001 224496048360 250687254002 376030881003 501374508004 626718135005 752061762006 1002749016008 1253436270010 1504123524012 1880154405015 2506872540020 3008247048024 3760308810030 5013745080040 7520617620060 15041235240120