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15540404130 = 23251034194001
BaseRepresentation
bin11100111100100011…
…11011111110100010
31111010001000022210100
432132101323332202
5223311320413010
611050020443230
71060051153446
oct163621737642
944101008710
1015540404130
1166551756a9
123018549516
1316087a9904
14a75cd6826
1560e4ae2c0
hex39e47bfa2

15540404130 has 96 divisors (see below), whose sum is σ = 40904922240. Its totient is φ = 4093056000.

The previous prime is 15540404119. The next prime is 15540404161. The reversal of 15540404130 is 3140404551.

It is a happy number.

15540404130 is a `hidden beast` number, since 1 + 554 + 0 + 40 + 41 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 15540404094 and 15540404103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3882130 + ... + 3886130.

It is an arithmetic number, because the mean of its divisors is an integer number (426092940).

Almost surely, 215540404130 is an apocalyptic number.

15540404130 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 15540404130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20452461120).

15540404130 is an abundant number, since it is smaller than the sum of its proper divisors (25364518110).

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

15540404130 is a wasteful number, since it uses less digits than its factorization.

15540404130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4536 (or 4533 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 15540404130 its reverse (3140404551), we get a palindrome (18680808681).

The spelling of 15540404130 in words is "fifteen billion, five hundred forty million, four hundred four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 206 309 419 515 618 838 927 1030 1257 1545 1854 2095 2514 3090 3771 4001 4190 4635 6285 7542 8002 9270 12003 12570 18855 20005 24006 36009 37710 40010 43157 60015 72018 86314 120030 129471 180045 215785 258942 360090 388413 412103 431570 647355 776826 824206 1236309 1294710 1676419 1942065 2060515 2472618 3352838 3708927 3884130 4121030 5029257 6181545 7417854 8382095 10058514 12363090 15087771 16764190 18544635 25146285 30175542 37089270 50292570 75438855 150877710 172671157 345342314 518013471 863355785 1036026942 1554040413 1726711570 2590067355 3108080826 5180134710 7770202065 15540404130