Search a number
-
+
24263133136242 = 23711136166226487
BaseRepresentation
bin1011000010001001100110…
…11011101000010101110010
310011220112101110120111202120
411201010303123220111302
511140011344040324432
6123334155100255110
75052645025544520
oct541046333502562
9104815343514676
1024263133136242
117804a34131560
12287a436241496
131070007cb6190
145dc4b02b3310
152c1216b09c2c
hex1611336e8572

24263133136242 has 128 divisors (see below), whose sum is σ = 66222249504768. Its totient is φ = 5721968390400.

The previous prime is 24263133136223. The next prime is 24263133136247.

24263133136242 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 24263133136194 and 24263133136203.

It is not an unprimeable number, because it can be changed into a prime (24263133136247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32746878 + ... + 33479609.

It is an arithmetic number, because the mean of its divisors is an integer number (517361324256).

Almost surely, 224263133136242 is an apocalyptic number.

24263133136242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24263133136242 is an abundant number, since it is smaller than the sum of its proper divisors (41959116368526).

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

24263133136242 is a wasteful number, since it uses less digits than its factorization.

24263133136242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66226584.

The product of its digits is 746496, while the sum is 42.

The spelling of 24263133136242 in words is "twenty-four trillion, two hundred sixty-three billion, one hundred thirty-three million, one hundred thirty-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 61 66 77 78 91 122 143 154 182 183 231 273 286 366 427 429 462 546 671 793 854 858 1001 1281 1342 1586 2002 2013 2379 2562 3003 4026 4697 4758 5551 6006 8723 9394 11102 14091 16653 17446 26169 28182 33306 52338 61061 122122 183183 366366 66226487 132452974 198679461 397358922 463585409 728491357 860944331 927170818 1390756227 1456982714 1721888662 2185474071 2582832993 2781512454 4039815707 4370948142 5099439499 5165665986 6026610317 8079631414 9470387641 10198878998 12053220634 12119447121 15298318497 18079830951 18940775282 24238894242 28278709949 28411162923 30596636994 36159661902 44437972777 52517604191 56557419898 56822325846 66292713487 84836129847 88875945554 105035208382 132585426974 133313918331 157552812573 169672259694 198878140461 266627836662 311065809439 315105625146 367623229337 397756280922 577693646101 622131618878 735246458674 933197428317 1102869688011 1155387292202 1733080938303 1866394856634 2205739376022 3466161876606 4043855522707 8087711045414 12131566568121 24263133136242