Search a number
-
+
124420354504145 = 57237379231111597
BaseRepresentation
bin11100010010100011011111…
…000010000111010111010001
3121022112110200102122001101022
4130102203133002013113101
5112302000341223113040
61120341531034445225
735131034241422060
oct3422433702072721
9538473612561338
10124420354504145
113670a415538427
1211b555b8b93815
135456a3481071b
1422a1d979781d7
15e5b6d3e4d6b5
hex7128df0875d1

124420354504145 has 128 divisors (see below), whose sum is σ = 182871117987840. Its totient is φ = 79429386516480.

The previous prime is 124420354504139. The next prime is 124420354504169. The reversal of 124420354504145 is 541405453024421.

It is not a de Polignac number, because 124420354504145 - 24 = 124420354504129 is a prime.

It is a super-2 number, since 2×1244203545041452 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 124420354504096 and 124420354504105.

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 127 ways as a sum of consecutive naturals, for example, 10728661487 + ... + 10728673083.

It is an arithmetic number, because the mean of its divisors is an integer number (1428680609280).

Almost surely, 2124420354504145 is an apocalyptic number.

It is an amenable number.

124420354504145 is a deficient number, since it is larger than the sum of its proper divisors (58450763483695).

124420354504145 is a wasteful number, since it uses less digits than its factorization.

124420354504145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14095.

The product of its (nonzero) digits is 1536000, while the sum is 44.

The spelling of 124420354504145 in words is "one hundred twenty-four trillion, four hundred twenty billion, three hundred fifty-four million, five hundred four thousand, one hundred forty-five".

Divisors: 1 5 7 23 35 73 79 115 161 365 395 511 553 805 1679 1817 2311 2555 2765 5767 8395 9085 11555 11597 11753 12719 16177 28835 40369 53153 57985 58765 63595 80885 81179 132641 168703 182569 201845 265765 266731 372071 405895 663205 843515 846581 912845 916163 928487 1180921 1277983 1333655 1860355 1867117 3880169 4199087 4232905 4580815 4642435 5904605 5926067 6389915 6413141 9335585 13327537 19400845 19471363 20995435 21071749 26800667 27161183 29393609 29630335 32065705 66637685 66879899 93292759 97356815 105358745 134003335 135805915 136299541 146968045 147502243 187604669 306533351 334399495 466463795 468159293 616415341 681497705 737511215 938023345 1532666755 1538237677 1956448691 2117252693 2145733457 2340796465 3082076705 4314907387 7691188385 9782243455 10586263465 10728667285 10767663739 13695140837 14820768851 21574536935 44998319893 48696811939 53838318695 68475704185 74103844255 154559446589 224991599465 243484059695 314988239251 340877683573 772797232945 1081916126123 1574941196255 1704388417865 3554867271547 5409580630615 17774336357735 24884070900829 124420354504145