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124144202441421 = 321737179198761657
BaseRepresentation
bin11100001110100010010011…
…000101100110001011001101
3121021120001212220210202111100
4130032202103011212023031
5112232434311311111141
61120011020445413313
735102060031546351
oct3416422305461315
9537501786722440
10124144202441421
11366132959333a8
1211b0bb8a26a239
135436995639406
14229287bbab461
15e544202450b6
hex70e8931662cd

124144202441421 has 96 divisors (see below), whose sum is σ = 196190409018240. Its totient is φ = 75326593241088.

The previous prime is 124144202441419. The next prime is 124144202441431.

124144202441421 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 4 + 4 + 202 + 441 + 4 + 2 + 1 = 666.

124144202441421 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 124144202441421 - 21 = 124144202441419 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124144202441401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2013434025 + ... + 2013495681.

It is an arithmetic number, because the mean of its divisors is an integer number (2043650093940).

Almost surely, 2124144202441421 is an apocalyptic number.

It is an amenable number.

124144202441421 is a deficient number, since it is larger than the sum of its proper divisors (72046206576819).

124144202441421 is a wasteful number, since it uses less digits than its factorization.

124144202441421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63883 (or 63880 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

It can be divided in two parts, 12414420 and 2441421, that added together give a palindrome (14855841).

The spelling of 124144202441421 in words is "one hundred twenty-four trillion, one hundred forty-four billion, two hundred two million, four hundred forty-one thousand, four hundred twenty-one".

Divisors: 1 3 9 17 37 51 111 153 179 333 537 629 1611 1887 1987 3043 5661 5961 6623 9129 17883 19869 27387 33779 59607 61657 73519 101337 112591 184971 220557 304011 337773 355673 554913 661671 1013319 1048169 1067019 1249823 2281309 3144507 3201057 3749469 6046441 6843927 9433521 11036603 11248407 13159901 18139323 20531781 33109809 38782253 39479703 54417969 99329427 116346759 118439109 122512459 187622251 223718317 349040277 367537377 408354311 562866753 671154951 1102612131 1225062933 1688600259 2013464853 2082711803 3675188799 4532960983 6248135409 6942023287 13598882949 18744406227 20826069861 21929730161 40796648847 62478209583 65789190483 77060336711 197367571449 231181010133 372805412737 693543030399 811400015957 1118416238211 2434200047871 3355248714633 7302600143613 13793800271269 41381400813807 124144202441421