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1140330040000 = 265431919621
BaseRepresentation
bin10000100110000000111…
…101111000101011000000
311001000101120011001222221
4100212000331320223000
5122140343442240000
62231505502140424
7145246304261044
oct20460075705300
94030346131887
101140330040000
113aa67a640a68
12165006281714
13836c0345878
143d299828024
151e9e142c61a
hex10980f78ac0

1140330040000 has 140 divisors (see below), whose sum is σ = 2918865514048. Its totient is φ = 441417600000.

The previous prime is 1140330039971. The next prime is 1140330040001. The reversal of 1140330040000 is 400330411.

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

It is not an unprimeable number, because it can be changed into a prime (1140330040001) 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, 780190 + ... + 1699810.

Almost surely, 21140330040000 is an apocalyptic number.

1140330040000 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 1140330040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459432757024).

1140330040000 is an abundant number, since it is smaller than the sum of its proper divisors (1778535474048).

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

1140330040000 is an frugal number, since it uses more digits than its factorization.

1140330040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919684 (or 919659 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1140330040000 its reverse (400330411), we get a palindrome (1140730370411).

The spelling of 1140330040000 in words is "one trillion, one hundred forty billion, three hundred thirty million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 125 155 160 200 248 250 310 320 400 496 500 620 625 775 800 992 1000 1240 1250 1550 1600 1984 2000 2480 2500 3100 3875 4000 4960 5000 6200 7750 8000 9920 10000 12400 15500 19375 20000 24800 31000 38750 40000 49600 62000 77500 124000 155000 248000 310000 620000 919621 1240000 1839242 3678484 4598105 7356968 9196210 14713936 18392420 22990525 28508251 29427872 36784840 45981050 57016502 58855744 73569680 91962100 114033004 114952625 142541255 147139360 183924200 228066008 229905250 285082510 294278720 367848400 456132016 459810500 570165020 574763125 712706275 735696800 912264032 919621000 1140330040 1149526250 1425412550 1471393600 1824528064 1839242000 2280660080 2299052500 2850825100 3563531375 3678484000 4561320160 4598105000 5701650200 7127062750 7356968000 9122640320 9196210000 11403300400 14254125500 17817656875 18392420000 22806600800 28508251000 35635313750 36784840000 45613201600 57016502000 71270627500 114033004000 142541255000 228066008000 285082510000 570165020000 1140330040000