Search a number
-
+
15155422140 = 223517113131489
BaseRepresentation
bin11100001110101010…
…10110001110111100
31110010012121012210010
432013111112032330
5222014242002030
610543505143220
71044364651125
oct160725261674
943105535703
1015155422140
116477927a71
122b2b62ab10
131576ac5c11
14a3ab2104c
155da7b56b0
hex3875563bc

15155422140 has 96 divisors (see below), whose sum is σ = 45329336640. Its totient is φ = 3770023936.

The previous prime is 15155422109. The next prime is 15155422151. The reversal of 15155422140 is 4122455151.

It is a super-3 number, since 3×151554221403 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 15155422098 and 15155422107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49516 + ... + 181004.

It is an arithmetic number, because the mean of its divisors is an integer number (472180590).

Almost surely, 215155422140 is an apocalyptic number.

15155422140 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 15155422140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22664668320).

15155422140 is an abundant number, since it is smaller than the sum of its proper divisors (30173914500).

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

15155422140 is a wasteful number, since it uses less digits than its factorization.

15155422140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131631 (or 131629 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

Adding to 15155422140 its reverse (4122455151), we get a palindrome (19277877291).

The spelling of 15155422140 in words is "fifteen billion, one hundred fifty-five million, four hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 113 170 204 226 255 339 340 452 510 565 678 1020 1130 1356 1695 1921 2260 3390 3842 5763 6780 7684 9605 11526 19210 23052 28815 38420 57630 115260 131489 262978 394467 525956 657445 788934 1314890 1577868 1972335 2235313 2629780 3944670 4470626 6705939 7889340 8941252 11176565 13411878 14858257 22353130 26823756 29716514 33529695 44574771 44706260 59433028 67059390 74291285 89149542 134118780 148582570 178299084 222873855 252590369 297165140 445747710 505180738 757771107 891495420 1010361476 1262951845 1515542214 2525903690 3031084428 3788855535 5051807380 7577711070 15155422140