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15012200040 = 2335618324709
BaseRepresentation
bin11011111101100101…
…11111111001101000
31102202020002202222220
431332302333321220
5221221110400130
610521351314040
71041005411025
oct157662777150
942666082886
1015012200040
116403aa50a2
122aab67b920
13155322b106
14a25abc54c
155cce24410
hex37ecbfe68

15012200040 has 128 divisors (see below), whose sum is σ = 46328284800. Its totient is φ = 3890027520.

The previous prime is 15012200023. The next prime is 15012200051. The reversal of 15012200040 is 4000221051.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 15012199992 and 15012200019.

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 31 ways as a sum of consecutive naturals, for example, 595206 + ... + 619914.

It is an arithmetic number, because the mean of its divisors is an integer number (361939725).

Almost surely, 215012200040 is an apocalyptic number.

15012200040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15012200040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23164142400).

15012200040 is an abundant number, since it is smaller than the sum of its proper divisors (31316084760).

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

15012200040 is a wasteful number, since it uses less digits than its factorization.

15012200040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24867 (or 24863 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 15012200040 its reverse (4000221051), we get a palindrome (19012421091).

The spelling of 15012200040 in words is "fifteen billion, twelve million, two hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 83 120 122 166 183 244 249 305 332 366 415 488 498 610 664 732 830 915 996 1220 1245 1464 1660 1830 1992 2440 2490 3320 3660 4980 5063 7320 9960 10126 15189 20252 24709 25315 30378 40504 49418 50630 60756 74127 75945 98836 101260 121512 123545 148254 151890 197672 202520 247090 296508 303780 370635 494180 593016 607560 741270 988360 1482540 1507249 2050847 2965080 3014498 4101694 4521747 6028996 6152541 7536245 8203388 9043494 10254235 12057992 12305082 15072490 16406776 18086988 20508470 22608735 24610164 30144980 30762705 36173976 41016940 45217470 49220328 60289960 61525410 82033880 90434940 123050820 125101667 180869880 246101640 250203334 375305001 500406668 625508335 750610002 1000813336 1251016670 1501220004 1876525005 2502033340 3002440008 3753050010 5004066680 7506100020 15012200040