Search a number
-
+
102443240000 = 26545874363
BaseRepresentation
bin101111101101000010…
…1111100101001000000
3100210102110000210110002
41133122011330221000
53134300432140000
6115021202055132
710254432113123
oct1373205745100
9323373023402
10102443240000
113a49a5a1512
1217a3004a4a8
139877a5789a
144d5b7383ba
1529e89a28d5
hex17da17ca40

102443240000 has 140 divisors (see below), whose sum is σ = 254517015984. Its totient is φ = 40898112000.

The previous prime is 102443239991. The next prime is 102443240017. The reversal of 102443240000 is 42344201.

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 19 ways as a sum of consecutive naturals, for example, 23477819 + ... + 23482181.

Almost surely, 2102443240000 is an apocalyptic number.

102443240000 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 102443240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127258507992).

102443240000 is an abundant number, since it is smaller than the sum of its proper divisors (152073775984).

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

102443240000 is an frugal number, since it uses more digits than its factorization.

102443240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4982 (or 4957 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 102443240000 its reverse (42344201), we get a palindrome (102485584201).

The spelling of 102443240000 in words is "one hundred two billion, four hundred forty-three million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 587 625 800 1000 1174 1250 1600 2000 2348 2500 2935 4000 4363 4696 5000 5870 8000 8726 9392 10000 11740 14675 17452 18784 20000 21815 23480 29350 34904 37568 40000 43630 46960 58700 69808 73375 87260 93920 109075 117400 139616 146750 174520 187840 218150 234800 279232 293500 349040 366875 436300 469600 545375 587000 698080 733750 872600 939200 1090750 1174000 1396160 1467500 1745200 2181500 2348000 2561081 2726875 2935000 3490400 4363000 4696000 5122162 5453750 5870000 6980800 8726000 10244324 10907500 11740000 12805405 17452000 20488648 21815000 23480000 25610810 34904000 40977296 43630000 51221620 64027025 81954592 87260000 102443240 128054050 163909184 174520000 204886480 256108100 320135125 409772960 512216200 640270250 819545920 1024432400 1280540500 1600675625 2048864800 2561081000 3201351250 4097729600 5122162000 6402702500 10244324000 12805405000 20488648000 25610810000 51221620000 102443240000