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123453131472 = 243211106972907
BaseRepresentation
bin111001011111001100…
…0010100101011010000
3102210122122211212100200
41302332120110223100
54010313000201342
6132414045015200
711630166206046
oct1627630245320
9383578755320
10123453131472
11483a108a990
121bb14254500
13b845723a28
145d91bc4396
15332820594c
hex1cbe614ad0

123453131472 has 120 divisors (see below), whose sum is σ = 377263904160. Its totient is φ = 37374531840.

The previous prime is 123453131443. The next prime is 123453131489. The reversal of 123453131472 is 274131354321.

123453131472 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 53 + 131 + 472 = 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1656843 + ... + 1729749.

It is an arithmetic number, because the mean of its divisors is an integer number (3143865868).

Almost surely, 2123453131472 is an apocalyptic number.

123453131472 is a gapful number since it is divisible by the number (12) 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 123453131472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188631952080).

123453131472 is an abundant number, since it is smaller than the sum of its proper divisors (253810772688).

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

123453131472 is a wasteful number, since it uses less digits than its factorization.

123453131472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74001 (or 73992 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

Adding to 123453131472 its reverse (274131354321), we get a palindrome (397584485793).

The spelling of 123453131472 in words is "one hundred twenty-three billion, four hundred fifty-three million, one hundred thirty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1069 1584 2138 3207 4276 6414 8552 9621 11759 12828 17104 19242 23518 25656 35277 38484 47036 51312 70554 72907 76968 94072 105831 141108 145814 153936 188144 211662 218721 282216 291628 423324 437442 564432 583256 656163 801977 846648 874884 1166512 1312326 1603954 1693296 1749768 2405931 2624652 3207908 3499536 4811862 5249304 6415816 7217793 9623724 10498608 12831632 14435586 19247448 28871172 38494896 57742344 77937583 115484688 155875166 233812749 311750332 467625498 623500664 701438247 857313413 935250996 1247001328 1402876494 1714626826 1870501992 2571940239 2805752988 3429253652 3741003984 5143880478 5611505976 6858507304 7715820717 10287760956 11223011952 13717014608 15431641434 20575521912 30863282868 41151043824 61726565736 123453131472