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11104100040 = 23351160113997
BaseRepresentation
bin10100101011101101…
…10001111011001000
31001122212022201122110
422111312301323020
5140220122200130
65033503222320
7542112202335
oct122566617310
931585281573
1011104100040
114788a7a790
12219a8a79a0
13107c6753c7
14774a4b98c
1544eca3ab0
hex295db1ec8

11104100040 has 128 divisors (see below), whose sum is σ = 36403758720. Its totient is φ = 2687232000.

The previous prime is 11104100017. The next prime is 11104100083. The reversal of 11104100040 is 4000140111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11104099989 and 11104100025.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 786322 + ... + 800318.

It is an arithmetic number, because the mean of its divisors is an integer number (284404365).

Almost surely, 211104100040 is an apocalyptic number.

11104100040 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 11104100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18201879360).

11104100040 is an abundant number, since it is smaller than the sum of its proper divisors (25299658680).

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

11104100040 is a wasteful number, since it uses less digits than its factorization.

11104100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14623 (or 14619 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11104100040 its reverse (4000140111), we get a palindrome (15104240151).

The spelling of 11104100040 in words is "eleven billion, one hundred four million, one hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 601 660 1202 1320 1803 2404 3005 3606 4808 6010 6611 7212 9015 12020 13222 13997 14424 18030 19833 24040 26444 27994 33055 36060 39666 41991 52888 55988 66110 69985 72120 79332 83982 99165 111976 132220 139970 153967 158664 167964 198330 209955 264440 279940 307934 335928 396660 419910 461901 559880 615868 769835 793320 839820 923802 1231736 1539670 1679640 1847604 2309505 3079340 3695208 4619010 6158680 8412197 9238020 16824394 18476040 25236591 33648788 42060985 50473182 67297576 84121970 92534167 100946364 126182955 168243940 185068334 201892728 252365910 277602501 336487880 370136668 462670835 504731820 555205002 740273336 925341670 1009463640 1110410004 1388012505 1850683340 2220820008 2776025010 3701366680 5552050020 11104100040