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11324140000 = 2554683829
BaseRepresentation
bin10101000101111100…
…01010100111100000
31002020012100220201121
422202332022213200
5141142434440000
65111403342024
7550423413265
oct124276124740
932205326647
1011324140000
1148911aaa98
122240521914
1310b6128074
14795d6926c
1546426ab1a
hex2a2f8a9e0

11324140000 has 120 divisors (see below), whose sum is σ = 27933527160. Its totient is φ = 4517568000.

The previous prime is 11324139991. The next prime is 11324140001. The reversal of 11324140000 is 4142311.

It is a super-2 number, since 2×113241400002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11324140001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13659586 + ... + 13660414.

It is an arithmetic number, because the mean of its divisors is an integer number (232779393).

Almost surely, 211324140000 is an apocalyptic number.

11324140000 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 11324140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13966763580).

11324140000 is an abundant number, since it is smaller than the sum of its proper divisors (16609387160).

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

11324140000 is an frugal number, since it uses more digits than its factorization.

11324140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11324140000 its reverse (4142311), we get a palindrome (11328282311).

The spelling of 11324140000 in words is "eleven billion, three hundred twenty-four million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 683 800 829 1000 1250 1366 1658 2000 2500 2732 3316 3415 4000 4145 5000 5464 6632 6830 8290 10000 10928 13264 13660 16580 17075 20000 20725 21856 26528 27320 33160 34150 41450 54640 66320 68300 82900 85375 103625 109280 132640 136600 165800 170750 207250 273200 331600 341500 414500 426875 518125 546400 566207 663200 683000 829000 853750 1036250 1132414 1366000 1658000 1707500 2072500 2264828 2732000 2831035 3316000 3415000 4145000 4529656 5662070 6830000 8290000 9059312 11324140 13660000 14155175 16580000 18118624 22648280 28310350 45296560 56620700 70775875 90593120 113241400 141551750 226482800 283103500 353879375 452965600 566207000 707758750 1132414000 1415517500 2264828000 2831035000 5662070000 11324140000