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41233242132 = 2235179269881
BaseRepresentation
bin100110011001101100…
…010101100000010100
310221102121121201200000
4212121230111200110
51133421202222012
630535311251300
72656540526625
oct463154254024
9127377551600
1041233242132
111653a0aa115
127ba8b19b30
133b71715634
141dd22b1a4c
151114ddbddc
hex999b15814

41233242132 has 144 divisors (see below), whose sum is σ = 109220529600. Its totient is φ = 13601364480.

The previous prime is 41233242079. The next prime is 41233242137. The reversal of 41233242132 is 23124233214.

41233242132 is a `hidden beast` number, since 4 + 1 + 233 + 2 + 421 + 3 + 2 = 666.

It is a super-2 number, since 2×412332421322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 41233242096 and 41233242105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41233242137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46802332 + ... + 46803212.

It is an arithmetic number, because the mean of its divisors is an integer number (758475900).

Almost surely, 241233242132 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 41233242132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54610264800).

41233242132 is an abundant number, since it is smaller than the sum of its proper divisors (67987287468).

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

41233242132 is a wasteful number, since it uses less digits than its factorization.

41233242132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1334 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 41233242132 its reverse (23124233214), we get a palindrome (64357475346).

The spelling of 41233242132 in words is "forty-one billion, two hundred thirty-three million, two hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 179 243 269 324 358 486 537 538 716 807 881 972 1074 1076 1611 1614 1762 2148 2421 2643 3222 3228 3524 4833 4842 5286 6444 7263 7929 9666 9684 10572 14499 14526 15858 19332 21789 23787 28998 29052 31716 43497 43578 47574 48151 57996 65367 71361 86994 87156 95148 96302 130734 142722 144453 157699 173988 192604 214083 236989 261468 285444 288906 315398 428166 433359 473097 473978 577812 630796 710967 856332 866718 946194 947956 1300077 1419291 1421934 1733436 1892388 2132901 2600154 2838582 2843868 3900231 4257873 4265802 5200308 5677164 6398703 7800462 8515746 8531604 11700693 12773619 12797406 15600924 17031492 19196109 23401386 25547238 25594812 38320857 38392218 42421031 46802772 51094476 57588327 76641714 76784436 84842062 115176654 127263093 153283428 169684124 230353308 254526186 381789279 509052372 763578558 1145367837 1527157116 2290735674 3436103511 4581471348 6872207022 10308310533 13744414044 20616621066 41233242132