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110014040430 = 2345786322483
BaseRepresentation
bin110011001110101011…
…0010000100101101110
3101111222001211022020000
41212131112100211232
53300302043243210
6122312330405130
710643151625440
oct1463526204556
9344861738200
10110014040430
114272506a978
12193a35907a6
13a4b33a4858
145478dda490
152cdd46cac0
hex199d59096e

110014040430 has 160 divisors (see below), whose sum is σ = 338481690624. Its totient is φ = 25115811264.

The previous prime is 110014040393. The next prime is 110014040443. The reversal of 110014040430 is 34040410011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4881969 + ... + 4904451.

Almost surely, 2110014040430 is an apocalyptic number.

110014040430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110014040430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169240845312).

110014040430 is an abundant number, since it is smaller than the sum of its proper divisors (228467650194).

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

110014040430 is a wasteful number, since it uses less digits than its factorization.

110014040430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23372 (or 23363 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 110014040430 its reverse (34040410011), we get a palindrome (144054450441).

The spelling of 110014040430 in words is "one hundred ten billion, fourteen million, forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 863 945 1134 1726 1890 2589 2835 4315 5178 5670 6041 7767 8630 12082 12945 15534 18123 22483 23301 25890 30205 36246 38835 44966 46602 54369 60410 67449 69903 77670 90615 108738 112415 116505 134898 139806 157381 163107 181230 202347 224830 233010 271845 314762 326214 337245 349515 404694 472143 489321 543690 607041 674490 699030 786905 815535 944286 978642 1011735 1214082 1416429 1573810 1631070 1821123 2023470 2360715 2446605 2832858 3035205 3642246 4249287 4721430 4893210 6070410 7082145 8498574 9105615 12747861 14164290 18211230 19402829 21246435 25495722 38805658 42492870 58208487 63739305 97014145 116416974 127478610 135819803 174625461 194028290 271639606 291042435 349250922 407459409 523876383 582084870 679099015 814918818 873127305 1047752766 1222378227 1358198030 1571629149 1746254610 2037297045 2444756454 2619381915 3143258298 3667134681 4074594090 5238763830 6111891135 7334269362 7858145745 11001404043 12223782270 15716291490 18335673405 22002808086 36671346810 55007020215 110014040430