Search a number
-
+
1044024140000 = 255493755711
BaseRepresentation
bin11110011000101001011…
…00000010000011100000
310200210210211121110021202
433030110230002003200
5114101130134440000
62115341300340332
7135266614524302
oct17142454020340
93623724543252
101044024140000
1137284a455976
1214a4096a46a8
13775b2c7241a
143876124d972
151c256690dd5
hexf314b020e0

1044024140000 has 120 divisors (see below), whose sum is σ = 2571243288768. Its totient is φ = 417156480000.

The previous prime is 1044024139969. The next prime is 1044024140011. The reversal of 1044024140000 is 414204401.

It is a happy number.

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

It is a congruent number.

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, 18712145 + ... + 18767855.

Almost surely, 21044024140000 is an apocalyptic number.

1044024140000 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 1044024140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285621644384).

1044024140000 is an abundant number, since it is smaller than the sum of its proper divisors (1527219148768).

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

1044024140000 is an frugal number, since it uses more digits than its factorization.

1044024140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56678 (or 56655 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 1044024140000 its reverse (414204401), we get a palindrome (1044438344401).

The spelling of 1044024140000 in words is "one trillion, forty-four billion, twenty-four million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 937 1000 1250 1874 2000 2500 3748 4000 4685 5000 7496 9370 10000 14992 18740 20000 23425 29984 37480 46850 55711 74960 93700 111422 117125 149920 187400 222844 234250 278555 374800 445688 468500 557110 585625 749600 891376 937000 1114220 1171250 1392775 1782752 1874000 2228440 2342500 2785550 3748000 4456880 4685000 5571100 6963875 8913760 9370000 11142200 13927750 18740000 22284400 27855500 34819375 44568800 52201207 55711000 69638750 104402414 111422000 139277500 208804828 222844000 261006035 278555000 417609656 522012070 557110000 835219312 1044024140 1114220000 1305030175 1670438624 2088048280 2610060350 4176096560 5220120700 6525150875 8352193120 10440241400 13050301750 20880482800 26100603500 32625754375 41760965600 52201207000 65251508750 104402414000 130503017500 208804828000 261006035000 522012070000 1044024140000