Search a number
-
+
1144404004120 = 2351319731115447
BaseRepresentation
bin10000101001110011110…
…010110100110100011000
311001101220111000220010221
4100221303302310310120
5122222214411112440
62233422033245424
7145452253351336
oct20516362646430
94041814026127
101144404004120
11401380253563
12165962703874
1383bbc393220
143d564912b56
151eb7de12d4a
hex10a73cb4d18

1144404004120 has 64 divisors (see below), whose sum is σ = 2774386883520. Its totient is φ = 422334626304.

The previous prime is 1144404004097. The next prime is 1144404004141. The reversal of 1144404004120 is 214004044411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468237 + ... + 1583683.

It is an arithmetic number, because the mean of its divisors is an integer number (43349795055).

Almost surely, 21144404004120 is an apocalyptic number.

1144404004120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144404004120 is an abundant number, since it is smaller than the sum of its proper divisors (1629982879400).

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

1144404004120 is a wasteful number, since it uses less digits than its factorization.

1144404004120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117444 (or 1117440 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 1144404004120 its reverse (214004044411), we get a palindrome (1358408048531).

The spelling of 1144404004120 in words is "one trillion, one hundred forty-four billion, four hundred four million, four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1973 3946 7892 9865 15784 19730 25649 39460 51298 78920 102596 128245 205192 256490 512980 1025960 1115447 2230894 4461788 5577235 8923576 11154470 14500811 22308940 29001622 44617880 58003244 72504055 116006488 145008110 290016220 580032440 2200776931 4401553862 8803107724 11003884655 17606215448 22007769310 28610100103 44015538620 57220200206 88031077240 114440400412 143050500515 228880800824 286101001030 572202002060 1144404004120