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124401403344141 = 32711428341912539
BaseRepresentation
bin11100010010010001110101…
…011101001011010100001101
3121022110122202200200101010100
4130102101311131023110031
5112301143033224003031
61120325114333401313
735126463513262530
oct3422216535132415
9538418680611110
10124401403344141
1136702380060420
1211b519aa339239
135455004513391
1422a10baab4a17
15e5ae7530ede6
hex71247574b50d

124401403344141 has 48 divisors (see below), whose sum is σ = 224082545057280. Its totient is φ = 64609015577760.

The previous prime is 124401403344107. The next prime is 124401403344161. The reversal of 124401403344141 is 141443304104421.

124401403344141 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 0 + 140 + 33 + 441 + 41 = 666.

It is not a de Polignac number, because 124401403344141 - 210 = 124401403343117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 124401403344096 and 124401403344105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124401403344161) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 17988151 + ... + 23924388.

It is an arithmetic number, because the mean of its divisors is an integer number (4668386355360).

Almost surely, 2124401403344141 is an apocalyptic number.

124401403344141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

124401403344141 is a deficient number, since it is larger than the sum of its proper divisors (99681141713139).

124401403344141 is a wasteful number, since it uses less digits than its factorization.

124401403344141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41916846 (or 41916843 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 124401403344141 its reverse (141443304104421), we get a palindrome (265844707448562).

The spelling of 124401403344141 in words is "one hundred twenty-four trillion, four hundred one billion, four hundred three million, three hundred forty-four thousand, one hundred forty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 4283 12849 29981 38547 47113 89943 141339 269829 329791 424017 989373 2968119 41912539 125737617 293387773 377212851 461037929 880163319 1383113787 2640489957 3227265503 4149341361 9681796509 29045389527 179511404537 538534213611 1256579831759 1615602640833 1974625449907 3769739495277 5923876349721 11309218485831 13822378149349 17771629049163 41467134448047 124401403344141