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110034034440 = 233511127656371
BaseRepresentation
bin110011001111010001…
…0100001111100001000
3101112000110110002211220
41212132202201330020
53300322203100230
6122314323122040
710643513601141
oct1463642417410
9345013402756
10110034034440
1142735386750
12193aa213320
13a4b7585325
14547b922ac8
152ce00bbd10
hex199e8a1f08

110034034440 has 128 divisors (see below), whose sum is σ = 362947461120. Its totient is φ = 26464838400.

The previous prime is 110034034381. The next prime is 110034034447. The reversal of 110034034440 is 44430430011.

It is a super-2 number, since 2×1100340344402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 110034034440.

It is not an unprimeable number, because it can be changed into a prime (110034034447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160546 + ... + 495825.

It is an arithmetic number, because the mean of its divisors is an integer number (2835527040).

Almost surely, 2110034034440 is an apocalyptic number.

110034034440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110034034440 is an abundant number, since it is smaller than the sum of its proper divisors (252913426680).

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

110034034440 is a wasteful number, since it uses less digits than its factorization.

110034034440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656523 (or 656519 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 110034034440 its reverse (44430430011), we get a palindrome (154464464451).

The spelling of 110034034440 in words is "one hundred ten billion, thirty-four million, thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 127 132 165 220 254 264 330 381 440 508 635 660 762 1016 1270 1320 1397 1524 1905 2540 2794 3048 3810 4191 5080 5588 6985 7620 8382 11176 13970 15240 16764 20955 27940 33528 41910 55880 83820 167640 656371 1312742 1969113 2625484 3281855 3938226 5250968 6563710 7220081 7876452 9845565 13127420 14440162 15752904 19691130 21660243 26254840 28880324 36100405 39382260 43320486 57760648 72200810 78764520 83359117 86640972 108301215 144401620 166718234 173281944 216602430 250077351 288803240 333436468 416795585 433204860 500154702 666872936 833591170 866409720 916950287 1000309404 1250386755 1667182340 1833900574 2000618808 2500773510 2750850861 3334364680 3667801148 4584751435 5001547020 5501701722 7335602296 9169502870 10003094040 11003403444 13754254305 18339005740 22006806888 27508508610 36678011480 55017017220 110034034440