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40110801104 = 2411243539091
BaseRepresentation
bin100101010110110010…
…100100000011010000
310211112101112211001002
4211112302210003100
51124121331113404
630232053401132
72616661120043
oct452662440320
9124471484032
1040110801104
1116013557600
1279350391a8
133a2300844a
141d271b0c5a
15109b5c1c1e
hex956ca40d0

40110801104 has 120 divisors (see below), whose sum is σ = 89067486816. Its totient is φ = 17470252800.

The previous prime is 40110801089. The next prime is 40110801119.

It is a happy number.

40110801104 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (40110801089) and next prime (40110801119).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4407599 + ... + 4416689.

Almost surely, 240110801104 is an apocalyptic number.

40110801104 is a gapful number since it is divisible by the number (44) 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 40110801104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44533743408).

40110801104 is an abundant number, since it is smaller than the sum of its proper divisors (48956685712).

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

40110801104 is a wasteful number, since it uses less digits than its factorization.

40110801104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9217 (or 9200 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The spelling of 40110801104 in words is "forty billion, one hundred ten million, eight hundred one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 43 44 53 86 88 106 121 172 176 212 242 344 424 473 484 583 688 848 946 968 1166 1892 1936 2279 2332 3784 4558 4664 5203 6413 7568 9091 9116 9328 10406 12826 18182 18232 20812 25069 25652 36364 36464 41624 50138 51304 72728 83248 100001 100276 102608 145456 200002 200552 275759 390913 400004 401104 481823 551518 781826 800008 963646 1100011 1103036 1563652 1600016 1927292 2200022 2206072 3127304 3854584 4300043 4400044 4412144 5300053 6254608 7709168 8600086 8800088 10600106 17200172 17600176 20718389 21200212 34400344 41436778 42400424 47300473 58300583 68800688 82873556 84800848 94600946 116601166 165747112 189201892 227902279 233202332 331494224 378403784 455804558 466404664 756807568 911609116 932809328 1823218232 2506925069 3646436464 5013850138 10027700276 20055400552 40110801104