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15140431350 = 23252116075039
BaseRepresentation
bin11100001100111000…
…01010010111110110
31110002011101121021200
432012130022113312
5222001422300400
610542211553330
71044123354162
oct160634122766
943064347250
1015140431350
11646a419190
122b265bb846
131573977825
14a38b3bca2
155d9303b00
hex38670a5f6

15140431350 has 144 divisors (see below), whose sum is σ = 44457154560. Its totient is φ = 3663633600.

The previous prime is 15140431309. The next prime is 15140431351. The reversal of 15140431350 is 5313404151.

It is a happy number.

It is a super-2 number, since 2×151404313502 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15140431351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3002131 + ... + 3007169.

It is an arithmetic number, because the mean of its divisors is an integer number (308730240).

Almost surely, 215140431350 is an apocalyptic number.

15140431350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 15140431350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22228577280).

15140431350 is an abundant number, since it is smaller than the sum of its proper divisors (29316723210).

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

15140431350 is a wasteful number, since it uses less digits than its factorization.

15140431350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5675 (or 5667 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 15140431350 in words is "fifteen billion, one hundred forty million, four hundred thirty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 607 825 990 1214 1650 1821 2475 3035 3642 4950 5039 5463 6070 6677 9105 10078 10926 13354 15117 15175 18210 20031 25195 27315 30234 30350 33385 40062 45351 45525 50390 54630 55429 60093 66770 75585 90702 91050 100155 110858 120186 125975 136575 151170 166287 166925 200310 226755 251950 273150 277145 300465 332574 333850 377925 453510 498861 500775 554290 600930 755850 831435 997722 1001550 1133775 1385725 1502325 1662870 2267550 2494305 2771450 3004650 3058673 4157175 4988610 6117346 8314350 9176019 12471525 15293365 18352038 24943050 27528057 30586730 33645403 45880095 55056114 67290806 76466825 91760190 100936209 137640285 152933650 168227015 201872418 229400475 275280570 302808627 336454030 458800950 504681045 605617254 688201425 841135075 1009362090 1376402850 1514043135 1682270150 2523405225 3028086270 5046810450 7570215675 15140431350