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15151240000 = 26541329137
BaseRepresentation
bin11100001110001010…
…11001001101000000
31110002220201201222001
432013011121031000
5222012204140000
610543235353344
71044314262241
oct160705311500
943086651861
1015151240000
116475530956
122b2a152854
131575c90490
14a3a352cc8
155da23b46a
hex387159340

15151240000 has 140 divisors (see below), whose sum is σ = 40461551284. Its totient is φ = 5594112000.

The previous prime is 15151239991. The next prime is 15151240007. The reversal of 15151240000 is 4215151.

It can be written as a sum of positive squares in 10 ways, for example, as 10904371776 + 4246868224 = 104424^2 + 65168^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 15151240000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15151240007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 505432 + ... + 534568.

Almost surely, 215151240000 is an apocalyptic number.

15151240000 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 15151240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20230775642).

15151240000 is an abundant number, since it is smaller than the sum of its proper divisors (25310311284).

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

15151240000 is an equidigital number, since it uses as much as digits as its factorization.

15151240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29182 (or 29157 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

Adding to 15151240000 its reverse (4215151), we get a palindrome (15155455151).

The spelling of 15151240000 in words is "fifteen billion, one hundred fifty-one million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 130 160 200 208 250 260 320 325 400 416 500 520 625 650 800 832 1000 1040 1250 1300 1600 1625 2000 2080 2500 2600 3250 4000 4160 5000 5200 6500 8000 8125 10000 10400 13000 16250 20000 20800 26000 29137 32500 40000 52000 58274 65000 104000 116548 130000 145685 233096 260000 291370 378781 466192 520000 582740 728425 757562 932384 1165480 1456850 1515124 1864768 1893905 2330960 2913700 3030248 3642125 3787810 4661920 5827400 6060496 7284250 7575620 9323840 9469525 11654800 12120992 14568500 15151240 18210625 18939050 23309600 24241984 29137000 30302480 36421250 37878100 46619200 47347625 58274000 60604960 72842500 75756200 94695250 116548000 121209920 145685000 151512400 189390500 233096000 236738125 291370000 303024800 378781000 473476250 582740000 606049600 757562000 946952500 1165480000 1515124000 1893905000 3030248000 3787810000 7575620000 15151240000