Search a number
-
+
123441020240 = 24523737911633
BaseRepresentation
bin111001011110110101…
…0000111110101010000
3102210121211001112212112
41302331222013311100
54010301400121430
6132412533244452
711626661234246
oct1627552076520
9383554045775
10123441020240
11483952685aa
121bb10193728
13b843073215
145d90350796
153327112195
hex1cbda87d50

123441020240 has 160 divisors (see below), whose sum is σ = 307450321920. Its totient is φ = 45989019648.

The previous prime is 123441020233. The next prime is 123441020281. The reversal of 123441020240 is 42020144321.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

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, 10605464 + ... + 10617096.

It is an arithmetic number, because the mean of its divisors is an integer number (1921564512).

Almost surely, 2123441020240 is an apocalyptic number.

123441020240 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 123441020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153725160960).

123441020240 is an abundant number, since it is smaller than the sum of its proper divisors (184009301680).

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

123441020240 is a wasteful number, since it uses less digits than its factorization.

123441020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11821 (or 11815 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 123441020240 its reverse (42020144321), we get a palindrome (165461164561).

The spelling of 123441020240 in words is "one hundred twenty-three billion, four hundred forty-one million, twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 73 79 80 92 115 146 158 184 230 292 316 365 368 395 460 584 632 730 790 920 1168 1264 1460 1580 1679 1817 1840 2920 3160 3358 3634 5767 5840 6320 6716 7268 8395 9085 11534 11633 13432 14536 16790 18170 23068 23266 26864 28835 29072 33580 36340 46136 46532 57670 58165 67160 72680 92272 93064 115340 116330 132641 134320 145360 186128 230680 232660 265282 267559 461360 465320 530564 535118 663205 849209 919007 930640 1061128 1070236 1326410 1337795 1698418 1838014 2122256 2140472 2652820 2675590 3396836 3676028 4246045 4280944 4595035 5305640 5351180 6793672 7352056 8492090 9190070 10611280 10702360 13587344 14704112 16984180 18380140 19531807 21137161 21404720 33968360 36760280 39063614 42274322 67087511 67936720 73520560 78127228 84548644 97659035 105685805 134175022 156254456 169097288 195318070 211371610 268350044 312508912 335437555 338194576 390636140 422743220 536700088 670875110 781272280 845486440 1073400176 1341750220 1543012753 1562544560 1690972880 2683500440 3086025506 5367000880 6172051012 7715063765 12344102024 15430127530 24688204048 30860255060 61720510120 123441020240