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1124230111424 = 26716366123291
BaseRepresentation
bin10000010111000001010…
…101100010000011000000
310222110211112021221221222
4100113001111202003000
5121404410402031144
62220244132534212
7144136320163550
oct20270125420300
93873745257858
101124230111424
113a3868653372
12161a72481368
1382025972504
143c5ad4c3160
151e39cc982ee
hex105c15620c0

1124230111424 has 112 divisors (see below), whose sum is σ = 2569226109696. Its totient is φ = 478112025600.

The previous prime is 1124230111423. The next prime is 1124230111427. The reversal of 1124230111424 is 4241110324211.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 1124230111393 and 1124230111402.

It is not an unprimeable number, because it can be changed into a prime (1124230111423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48257219 + ... + 48280509.

Almost surely, 21124230111424 is an apocalyptic number.

1124230111424 is a gapful number since it is divisible by the number (14) 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 1124230111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284613054848).

1124230111424 is an abundant number, since it is smaller than the sum of its proper divisors (1444995998272).

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

1124230111424 is a wasteful number, since it uses less digits than its factorization.

1124230111424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24134 (or 24124 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 1124230111424 its reverse (4241110324211), we get a palindrome (5365340435635).

The spelling of 1124230111424 in words is "one trillion, one hundred twenty-four billion, two hundred thirty million, one hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 163 224 326 448 652 661 1141 1304 1322 2282 2608 2644 4564 4627 5216 5288 9128 9254 10432 10576 18256 18508 21152 23291 36512 37016 42304 46582 73024 74032 93164 107743 148064 163037 186328 215486 296128 326074 372656 430972 652148 745312 754201 861944 1304296 1490624 1508402 1723888 2608592 3016804 3447776 3796433 5217184 6033608 6895552 7592866 10434368 12067216 15185732 15395351 24134432 26575031 30371464 30790702 48268864 53150062 60742928 61581404 106300124 107767457 121485856 123162808 212600248 215534914 242971712 246325616 425200496 431069828 492651232 850400992 862139656 985302464 1700801984 1724279312 2509442213 3448558624 5018884426 6897117248 10037768852 17566095491 20075537704 35132190982 40151075408 70264381964 80302150816 140528763928 160604301632 281057527856 562115055712 1124230111424