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111144234040 = 235717233100213
BaseRepresentation
bin110011110000010110…
…1100110110000111000
3101121212211111002101121
41213200231212300320
53310110410442130
6123020422355024
711013154254520
oct1474055466070
9347784432347
10111144234040
1143155028084
1219659b8ba74
13a633597678
145545158680
152d577b9d7a
hex19e0b66c38

111144234040 has 128 divisors (see below), whose sum is σ = 303912984960. Its totient is φ = 35710746624.

The previous prime is 111144233957. The next prime is 111144234041. The reversal of 111144234040 is 40432441111.

It is a junction number, because it is equal to n+sod(n) for n = 111144233996 and 111144234014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111144234041) 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, 1058974 + ... + 1159186.

It is an arithmetic number, because the mean of its divisors is an integer number (2374320195).

Almost surely, 2111144234040 is an apocalyptic number.

111144234040 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 111144234040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151956492480).

111144234040 is an abundant number, since it is smaller than the sum of its proper divisors (192768750920).

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

111144234040 is a wasteful number, since it uses less digits than its factorization.

111144234040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100481 (or 100477 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 111144234040 its reverse (40432441111), we get a palindrome (151576675151).

The spelling of 111144234040 in words is "one hundred eleven billion, one hundred forty-four million, two hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 233 238 280 340 466 476 595 680 932 952 1165 1190 1631 1864 2330 2380 3262 3961 4660 4760 6524 7922 8155 9320 13048 15844 16310 19805 27727 31688 32620 39610 55454 65240 79220 100213 110908 138635 158440 200426 221816 277270 400852 501065 554540 701491 801704 1002130 1109080 1402982 1703621 2004260 2805964 3407242 3507455 4008520 5611928 6814484 7014910 8518105 11925347 13628968 14029820 17036210 23349629 23850694 28059640 34072420 46699258 47701388 59626735 68144840 93398516 95402776 116748145 119253470 163447403 186797032 233496290 238506940 326894806 396943693 466992580 477013880 653789612 793887386 817237015 933985160 1307579224 1587774772 1634474030 1984718465 2778605851 3175549544 3268948060 3969436930 5557211702 6537896120 7938873860 11114423404 13893029255 15877747720 22228846808 27786058510 55572117020 111144234040