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1123433223440 = 24511107106911161
BaseRepresentation
bin10000010110010001110…
…101101001010100010000
310222101202222210212011012
4100112101311221110100
5121401242401122230
62220033104510052
7144110502561143
oct20262165512420
93871688725135
101123433223440
113a3499848660
1216188b61b328
1381c2983bc68
143c53572805a
151e352d38395
hex10591d69510

1123433223440 has 160 divisors (see below), whose sum is σ = 2879013767040. Its totient is φ = 404288409600.

The previous prime is 1123433223421. The next prime is 1123433223443. The reversal of 1123433223440 is 443223343211.

It is a junction number, because it is equal to n+sod(n) for n = 1123433223397 and 1123433223406.

It is not an unprimeable number, because it can be changed into a prime (1123433223443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100651460 + ... + 100662620.

It is an arithmetic number, because the mean of its divisors is an integer number (17993836044).

Almost surely, 21123433223440 is an apocalyptic number.

1123433223440 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 1123433223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439506883520).

1123433223440 is an abundant number, since it is smaller than the sum of its proper divisors (1755580543600).

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

1123433223440 is a wasteful number, since it uses less digits than its factorization.

1123433223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12361 (or 12355 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 1123433223440 its reverse (443223343211), we get a palindrome (1566656566651).

The spelling of 1123433223440 in words is "one trillion, one hundred twenty-three billion, four hundred thirty-three million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 107 110 176 214 220 428 440 535 856 880 1069 1070 1177 1712 2138 2140 2354 4276 4280 4708 5345 5885 8552 8560 9416 10690 11161 11759 11770 17104 18832 21380 22322 23518 23540 42760 44644 47036 47080 55805 58795 85520 89288 94072 94160 111610 114383 117590 122771 178576 188144 223220 228766 235180 245542 446440 457532 470360 491084 571915 613855 892880 915064 940720 982168 1143830 1194227 1227710 1258213 1830128 1964336 2287660 2388454 2455420 2516426 4575320 4776908 4910840 5032852 5971135 6291065 9150640 9553816 9821680 10065704 11931109 11942270 12582130 13136497 19107632 20131408 23862218 23884540 25164260 26272994 47724436 47769080 50328520 52545988 59655545 65682485 95448872 95538160 100657040 105091976 119311090 131242199 131364970 190897744 210183952 238622180 262484398 262729940 477244360 524968796 525459880 656210995 954488720 1049937592 1050919760 1276628663 1312421990 2099875184 2553257326 2624843980 5106514652 5249687960 6383143315 10213029304 10499375920 12766286630 14042915293 20426058608 25532573260 28085830586 51065146520 56171661172 70214576465 102130293040 112343322344 140429152930 224686644688 280858305860 561716611720 1123433223440