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123411124553004 = 22341575414484483
BaseRepresentation
bin11100000011110111100100…
…001111011000010100101100
3121011221222200110102112020000
4130003313210033120110230
5112133431440341144004
61114250142110224300
734665105466401351
oct3403674417302454
9534858613375200
10123411124553004
1136360400541642
1211a11a9bab5090
1353b2808251942
1422691b777c628
15e40317236c39
hex703de43d852c

123411124553004 has 120 divisors (see below), whose sum is σ = 325276181234928. Its totient is φ = 40799458477440.

The previous prime is 123411124552957. The next prime is 123411124553063. The reversal of 123411124553004 is 400355421114321.

123411124553004 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 1 + 112 + 4 + 5 + 530 + 0 + 4 = 666.

123411124553004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 123411124553004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25277347 + ... + 29761829.

Almost surely, 2123411124553004 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 123411124553004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162638090617464).

123411124553004 is an abundant number, since it is smaller than the sum of its proper divisors (201865056681924).

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

123411124553004 is a wasteful number, since it uses less digits than its factorization.

123411124553004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4485197 (or 4485186 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 123411124553004 its reverse (400355421114321), we get a palindrome (523766545667325).

The spelling of 123411124553004 in words is "one hundred twenty-three trillion, four hundred eleven billion, one hundred twenty-four million, five hundred fifty-three thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 157 162 314 324 471 541 628 942 1082 1413 1623 1884 2164 2826 3246 4239 4869 5652 6492 8478 9738 12717 14607 16956 19476 25434 29214 43821 50868 58428 84937 87642 169874 175284 254811 339748 509622 764433 1019244 1528866 2293299 3057732 4484483 4586598 6879897 8968966 9173196 13453449 13759794 17937932 26906898 27519588 40360347 53813796 80720694 121081041 161441388 242162082 363243123 484324164 704063831 726486246 1408127662 1452972492 2112191493 2426105303 2816255324 4224382986 4852210606 6336574479 7278315909 8448765972 9704421212 12673148958 14556631818 19009723437 21834947727 25346297916 29113263636 38019446874 43669895454 57029170311 65504843181 76038893748 87339790908 114058340622 131009686362 196514529543 228116681244 262019372724 380898532571 393029059086 761797065142 786058118172 1142695597713 1523594130284 2285391195426 3428086793139 4570782390852 6856173586278 10284260379417 13712347172556 20568520758834 30852781138251 41137041517668 61705562276502 123411124553004