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1124441340440 = 235112937247943
BaseRepresentation
bin10000010111001101111…
…011010011101000011000
310222111101020202111200212
4100113031323103220120
5121410323440343230
62220321120150252
7144144463456565
oct20271573235030
93874336674625
101124441340440
113a3966905900
12161b11168388
138205a65b8b2
143c5cd58986c
151e3b15be895
hex105cded3a18

1124441340440 has 96 divisors (see below), whose sum is σ = 2783880519840. Its totient is φ = 408449733120.

The previous prime is 1124441340397. The next prime is 1124441340443. The reversal of 1124441340440 is 440431444211.

It is a junction number, because it is equal to n+sod(n) for n = 1124441340397 and 1124441340406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1124441340443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4411109 + ... + 4659051.

It is an arithmetic number, because the mean of its divisors is an integer number (28998755415).

Almost surely, 21124441340440 is an apocalyptic number.

1124441340440 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 1124441340440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391940259920).

1124441340440 is an abundant number, since it is smaller than the sum of its proper divisors (1659439179400).

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

1124441340440 is a wasteful number, since it uses less digits than its factorization.

1124441340440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248913 (or 248898 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 1124441340440 its reverse (440431444211), we get a palindrome (1564872784651).

The spelling of 1124441340440 in words is "one trillion, one hundred twenty-four billion, four hundred forty-one million, three hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 937 968 1210 1874 2420 3748 4685 4840 7496 9370 10307 18740 20614 37480 41228 51535 82456 103070 113377 206140 226754 247943 412280 453508 495886 566885 907016 991772 1133770 1239715 1983544 2267540 2479430 2727373 4535080 4958860 5454746 9917720 10909492 13636865 21818984 27273730 30001103 54547460 60002206 109094920 120004412 150005515 232322591 240008824 300011030 464645182 600022060 929290364 1161612955 1200044120 1858580728 2323225910 2555548501 4646451820 5111097002 9292903640 10222194004 12777742505 20444388008 25555485010 28111033511 51110970020 56222067022 102221940040 112444134044 140555167555 224888268088 281110335110 562220670220 1124441340440