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15145243040 = 2552915672083
BaseRepresentation
bin11100001101011101…
…00001000110100000
31110002111110001200102
432012232201012200
5222004140234130
610542503041532
71044212304344
oct160656410640
943074401612
1015145243040
116472105294
122b281402a8
131574970995
14a39631624
155d9954645
hex386ba11a0

15145243040 has 96 divisors (see below), whose sum is σ = 37055854080. Its totient is φ = 5842658304.

The previous prime is 15145243027. The next prime is 15145243049. The reversal of 15145243040 is 4034254151.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 15145242994 and 15145243012.

It is not an unprimeable number, because it can be changed into a prime (15145243049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7269839 + ... + 7271921.

It is an arithmetic number, because the mean of its divisors is an integer number (385998480).

Almost surely, 215145243040 is an apocalyptic number.

15145243040 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 15145243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18527927040).

15145243040 is an abundant number, since it is smaller than the sum of its proper divisors (21910611040).

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

15145243040 is a wasteful number, since it uses less digits than its factorization.

15145243040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3694 (or 3686 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 15145243040 its reverse (4034254151), we get a palindrome (19179497191).

The spelling of 15145243040 in words is "fifteen billion, one hundred forty-five million, two hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 1567 2083 2320 3134 4166 4640 6268 7835 8332 10415 12536 15670 16664 20830 25072 31340 33328 41660 45443 50144 60407 62680 66656 83320 90886 120814 125360 166640 181772 227215 241628 250720 302035 333280 363544 454430 483256 604070 727088 908860 966512 1208140 1454176 1817720 1933024 2416280 3264061 3635440 4832560 6528122 7270880 9665120 13056244 16320305 26112488 32640610 52224976 65281220 94657769 104449952 130562440 189315538 261124880 378631076 473288845 522249760 757262152 946577690 1514524304 1893155380 3029048608 3786310760 7572621520 15145243040