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123144010440 = 233511175487701
BaseRepresentation
bin111001010101111110…
…1000111101011001000
3102202212010011220000120
41302223331013223020
54004144331313230
6132323243303240
711616423550413
oct1625375075310
9382763156016
10123144010440
1148252646760
121ba4881ab20
13b7c6681489
145d62b18b7a
15330aee4310
hex1cabf47ac8

123144010440 has 128 divisors (see below), whose sum is σ = 426723707520. Its totient is φ = 28097024000.

The previous prime is 123144010411. The next prime is 123144010447. The reversal of 123144010440 is 44010441321.

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 123144010440.

It is not an unprimeable number, because it can be changed into a prime (123144010447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2721411 + ... + 2766290.

It is an arithmetic number, because the mean of its divisors is an integer number (3333778965).

Almost surely, 2123144010440 is an apocalyptic number.

123144010440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123144010440 is an abundant number, since it is smaller than the sum of its proper divisors (303579697080).

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

123144010440 is a wasteful number, since it uses less digits than its factorization.

123144010440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5487743 (or 5487739 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 123144010440 its reverse (44010441321), we get a palindrome (167154451761).

The spelling of 123144010440 in words is "one hundred twenty-three billion, one hundred forty-four million, ten thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 561 660 680 748 935 1020 1122 1320 1496 1870 2040 2244 2805 3740 4488 5610 7480 11220 22440 5487701 10975402 16463103 21950804 27438505 32926206 43901608 54877010 60364711 65852412 82315515 93290917 109754020 120729422 131704824 164631030 181094133 186581834 219508040 241458844 279872751 301823555 329262060 362188266 373163668 466454585 482917688 559745502 603647110 658524120 724376532 746327336 905470665 932909170 1026200087 1119491004 1207294220 1399363755 1448753064 1810941330 1865818340 2052400174 2238982008 2414588440 2798727510 3078600261 3621882660 3731636680 4104800348 5131000435 5597455020 6157200522 7243765320 8209600696 10262000870 11194910040 12314401044 15393001305 20524001740 24628802088 30786002610 41048003480 61572005220 123144010440