Search a number
-
+
123027142464 = 2633601118463
BaseRepresentation
bin111001010010011111…
…1010011011101000000
3102202112222021101022000
41302210333103131000
54003424422024324
6132303510344000
711613504312432
oct1624477233500
9382488241260
10123027142464
11481a2684056
121ba1565b000
13b7a83b3025
145d513b6652
153300b0b9c9
hex1ca4fd3740

123027142464 has 112 divisors (see below), whose sum is σ = 362281866240. Its totient is φ = 40940467200.

The previous prime is 123027142429. The next prime is 123027142477. The reversal of 123027142464 is 464241720321.

123027142464 is a `hidden beast` number, since 1 + 2 + 30 + 27 + 142 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 979297 + ... + 1097759.

It is an arithmetic number, because the mean of its divisors is an integer number (3234659520).

Almost surely, 2123027142464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123027142464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181140933120).

123027142464 is an abundant number, since it is smaller than the sum of its proper divisors (239254723776).

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

123027142464 is a wasteful number, since it uses less digits than its factorization.

123027142464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119085 (or 119069 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 123027142464 its reverse (464241720321), we get a palindrome (587268862785).

The spelling of 123027142464 in words is "one hundred twenty-three billion, twenty-seven million, one hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 601 864 1202 1728 1803 2404 3606 4808 5409 7212 9616 10818 14424 16227 19232 21636 28848 32454 38464 43272 57696 64908 86544 115392 118463 129816 173088 236926 259632 346176 355389 473852 519264 710778 947704 1038528 1066167 1421556 1895408 2132334 2843112 3198501 3790816 4264668 5686224 6397002 7581632 8529336 11372448 12794004 17058672 22744896 25588008 34117344 51176016 68234688 71196263 102352032 142392526 204704064 213588789 284785052 427177578 569570104 640766367 854355156 1139140208 1281532734 1708710312 1922299101 2278280416 2563065468 3417420624 3844598202 4556560832 5126130936 6834841248 7689196404 10252261872 13669682496 15378392808 20504523744 30756785616 41009047488 61513571232 123027142464