Search a number
-
+
1140420414112 = 25753878310937
BaseRepresentation
bin10000100110000110010…
…110101000101010100000
311001000121212012112222021
4100212012112220222200
5122141040111222422
62231522451151224
7145251452402320
oct20460626505240
94030555175867
101140420414112
113aa716658411
121650305a5514
1383705c98b85
143d2a7831280
151e9e932edc7
hex109865a8aa0

1140420414112 has 96 divisors (see below), whose sum is σ = 2614896732672. Its totient is φ = 479431440384.

The previous prime is 1140420414109. The next prime is 1140420414127. The reversal of 1140420414112 is 2114140240411.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104266308 + ... + 104277244.

It is an arithmetic number, because the mean of its divisors is an integer number (27238507632).

Almost surely, 21140420414112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140420414112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307448366336).

1140420414112 is an abundant number, since it is smaller than the sum of its proper divisors (1474476318560).

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

1140420414112 is a wasteful number, since it uses less digits than its factorization.

1140420414112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19790 (or 19782 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 1140420414112 its reverse (2114140240411), we get a palindrome (3254560654523).

The spelling of 1140420414112 in words is "one trillion, one hundred forty billion, four hundred twenty million, four hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 106 112 212 224 371 424 742 848 1484 1696 2968 5936 8783 10937 11872 17566 21874 35132 43748 61481 70264 76559 87496 122962 140528 153118 174992 245924 281056 306236 349984 465499 491848 579661 612472 930998 983696 1159322 1224944 1861996 1967392 2318644 2449888 3258493 3723992 4057627 4637288 6516986 7447984 8115254 9274576 13033972 14895968 16230508 18549152 26067944 32461016 52135888 64922032 96059671 104271776 129844064 192119342 384238684 672417697 768477368 1344835394 1536954736 2689670788 3073909472 5091162563 5379341576 10182325126 10758683152 20364650252 21517366304 35638137941 40729300504 71276275882 81458601008 142552551764 162917202016 285105103528 570210207056 1140420414112