Search a number
-
+
15131545410140 = 22533752115792729
BaseRepresentation
bin1101110000110001011001…
…1000111001101001011100
31222120120011102020121000222
43130030112120321221130
53440403401111111030
652103200324140512
73121134541551635
oct334142630715134
958516142217028
1015131545410140
1149042859a6175
121844717b37738
13859b8b325783
143a452930488c
151b3915ee23e5
hexdc316639a5c

15131545410140 has 96 divisors (see below), whose sum is σ = 31963639780800. Its totient is φ = 6017054883840.

The previous prime is 15131545410127. The next prime is 15131545410187. The reversal of 15131545410140 is 4101454513151.

15131545410140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 15131545410140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5544720296 + ... + 5544723024.

It is an arithmetic number, because the mean of its divisors is an integer number (332954581050).

Almost surely, 215131545410140 is an apocalyptic number.

15131545410140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15131545410140 is an abundant number, since it is smaller than the sum of its proper divisors (16832094370660).

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

15131545410140 is a wasteful number, since it uses less digits than its factorization.

15131545410140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5175 (or 5173 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 35.

Adding to 15131545410140 its reverse (4101454513151), we get a palindrome (19232999923291).

The spelling of 15131545410140 in words is "fifteen trillion, one hundred thirty-one billion, five hundred forty-five million, four hundred ten thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 337 521 674 1042 1348 1579 1685 2084 2605 2729 3158 3370 5210 5458 6316 6740 7895 10420 10916 13645 15790 27290 31580 54580 175577 351154 532123 702308 822659 877885 919673 1064246 1421809 1645318 1755770 1839346 2128492 2660615 2843618 3290636 3511540 3678692 4113295 4309091 4598365 5321230 5687236 7109045 8226590 8618182 9196730 10642460 14218090 16453180 17236364 18393460 21545455 28436180 43090910 86181820 277236083 479149633 554472166 958299266 1108944332 1386180415 1452163667 1916598532 2245036411 2395748165 2772360830 2904327334 4490072822 4791496330 5544721660 5808654668 7260818335 8980145644 9582992660 11225182055 14521636670 22450364110 29043273340 44900728220 756577270507 1513154541014 3026309082028 3782886352535 7565772705070 15131545410140