Search a number
-
+
15540041000 = 2353118631637
BaseRepresentation
bin11100111100100001…
…00011010100101000
31111010000022212200002
432132100203110220
5223311222303000
611050005002132
71060045111661
oct163620432450
944100285602
1015540041000
116654a478a0
1230183b3348
1316086b0543
14a75c40368
1560e43b8d5
hex39e423528

15540041000 has 128 divisors (see below), whose sum is σ = 39739714560. Its totient is φ = 5640928000.

The previous prime is 15540040991. The next prime is 15540041053. The reversal of 15540041000 is 14004551.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 9492182 + ... + 9493818.

It is an arithmetic number, because the mean of its divisors is an integer number (310466520).

Almost surely, 215540041000 is an apocalyptic number.

15540041000 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 15540041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19869857280).

15540041000 is an abundant number, since it is smaller than the sum of its proper divisors (24199673560).

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

15540041000 is a wasteful number, since it uses less digits than its factorization.

15540041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 15540041000 its reverse (14004551), we get a palindrome (15554045551).

The spelling of 15540041000 in words is "fifteen billion, five hundred forty million, forty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 863 1000 1100 1375 1637 1726 2200 2750 3274 3452 4315 5500 6548 6904 8185 8630 9493 11000 13096 16370 17260 18007 18986 21575 32740 34520 36014 37972 40925 43150 47465 65480 72028 75944 81850 86300 90035 94930 107875 144056 163700 172600 180070 189860 204625 215750 237325 327400 360140 379720 409250 431500 450175 474650 720280 818500 863000 900350 949300 1186625 1412731 1637000 1800700 1898600 2250875 2373250 2825462 3601400 4501750 4746500 5650924 7063655 9003500 9493000 11301848 14127310 15540041 18007000 28254620 31080082 35318275 56509240 62160164 70636550 77700205 124320328 141273100 155400410 176591375 282546200 310800820 353182750 388501025 621601640 706365500 777002050 1412731000 1554004100 1942505125 3108008200 3885010250 7770020500 15540041000