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41221454202 = 235417129137
BaseRepresentation
bin100110011000111111…
…010111100101111010
310221101210102211200000
4212120333113211322
51133410143013302
630534210453430
72656335402525
oct463077274572
9127353384600
1041221454202
1116533488725
127ba4b94276
133b6c149026
141dd08c3bbc
151113d5e31c
hex998fd797a

41221454202 has 96 divisors (see below), whose sum is σ = 96219736704. Its totient is φ = 13216089600.

The previous prime is 41221454173. The next prime is 41221454207. The reversal of 41221454202 is 20245412214.

It is a happy number.

41221454202 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 1 + 454 + 202 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (41221454207) 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, 1400178 + ... + 1429314.

It is an arithmetic number, because the mean of its divisors is an integer number (1002288924).

Almost surely, 241221454202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41221454202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48109868352).

41221454202 is an abundant number, since it is smaller than the sum of its proper divisors (54998282502).

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

41221454202 is a wasteful number, since it uses less digits than its factorization.

41221454202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29266 (or 29254 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 41221454202 its reverse (20245412214), we get a palindrome (61466866416).

The spelling of 41221454202 in words is "forty-one billion, two hundred twenty-one million, four hundred fifty-four thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 41 54 71 81 82 123 142 162 213 243 246 369 426 486 639 738 1107 1278 1917 2214 2911 3321 3834 5751 5822 6642 8733 9963 11502 17253 17466 19926 26199 29137 34506 52398 58274 78597 87411 157194 174822 235791 262233 471582 524466 707373 786699 1194617 1414746 1573398 2068727 2360097 2389234 3583851 4137454 4720194 6206181 7080291 7167702 10751553 12412362 14160582 18618543 21503106 32254659 37237086 55855629 64509318 84817807 96763977 111711258 167566887 169635614 193527954 254453421 290291931 335133774 502700661 508906842 580583862 763360263 1005401322 1526720526 2290080789 4580161578 6870242367 13740484734 20610727101 41221454202