Search a number
-
+
110438282040 = 23351961794063
BaseRepresentation
bin110011011011010100…
…0100111001100111000
3101120001122010000022020
41212312220213030320
53302134200011130
6122422403354440
710656522623442
oct1466650471470
9346048100266
10110438282040
1142922592979
12194a1682a20
13a5502530a8
1454b94b1492
152d1581de10
hex19b6a27338

110438282040 has 128 divisors (see below), whose sum is σ = 354470169600. Its totient is φ = 27442782720.

The previous prime is 110438281999. The next prime is 110438282047. The reversal of 110438282040 is 40282834011.

It is a super-2 number, since 2×1104382820402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110438281992 and 110438282010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110438282047) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 257952 + ... + 536111.

It is an arithmetic number, because the mean of its divisors is an integer number (2769298200).

Almost surely, 2110438282040 is an apocalyptic number.

110438282040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110438282040 is an abundant number, since it is smaller than the sum of its proper divisors (244031887560).

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

110438282040 is a wasteful number, since it uses less digits than its factorization.

110438282040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794157 (or 794153 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 110438282040 in words is "one hundred ten billion, four hundred thirty-eight million, two hundred eighty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 61 76 95 114 120 122 152 183 190 228 244 285 305 366 380 456 488 570 610 732 760 915 1140 1159 1220 1464 1830 2280 2318 2440 3477 3660 4636 5795 6954 7320 9272 11590 13908 17385 23180 27816 34770 46360 69540 139080 794063 1588126 2382189 3176252 3970315 4764378 6352504 7940630 9528756 11910945 15087197 15881260 19057512 23821890 30174394 31762520 45261591 47643780 48437843 60348788 75435985 90523182 95287560 96875686 120697576 145313529 150871970 181046364 193751372 226307955 242189215 290627058 301743940 362092728 387502744 452615910 484378430 581254116 603487880 726567645 905231820 920319017 968756860 1162508232 1453135290 1810463640 1840638034 1937513720 2760957051 2906270580 3681276068 4601595085 5521914102 5812541160 7362552136 9203190170 11043828204 13804785255 18406380340 22087656408 27609570510 36812760680 55219141020 110438282040