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41431431204 = 223317193116923
BaseRepresentation
bin100110100101100000…
…010111100000100100
310221221102112202222000
4212211200113200210
51134322421244304
631011111205300
72664465232422
oct464540274044
9127842482860
1041431431204
1116630a65539
128043376830
133ba37b7587
142010742112
1511274d9939
hex9a5817824

41431431204 has 96 divisors (see below), whose sum is σ = 114323610240. Its totient is φ = 12930637824.

The previous prime is 41431431193. The next prime is 41431431241. The reversal of 41431431204 is 40213413414.

41431431204 is a `hidden beast` number, since 414 + 3 + 1 + 43 + 1 + 204 = 666.

It is a super-2 number, since 2×414314312042 (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295887 + ... + 412809.

It is an arithmetic number, because the mean of its divisors is an integer number (1190870940).

Almost surely, 241431431204 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 41431431204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57161805120).

41431431204 is an abundant number, since it is smaller than the sum of its proper divisors (72892179036).

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

41431431204 is a wasteful number, since it uses less digits than its factorization.

41431431204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117146 (or 117138 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 41431431204 its reverse (40213413414), we get a palindrome (81644844618).

The spelling of 41431431204 in words is "forty-one billion, four hundred thirty-one million, four hundred thirty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 193 204 306 386 459 579 612 772 918 1158 1737 1836 2316 3281 3474 5211 6562 6948 9843 10422 13124 19686 20844 29529 39372 59058 88587 116923 118116 177174 233846 350769 354348 467692 701538 1052307 1403076 1987691 2104614 3156921 3975382 4209228 5963073 6313842 7950764 11926146 12627684 17889219 22566139 23852292 35778438 45132278 53667657 67698417 71556876 90264556 107335314 135396834 203095251 214670628 270793668 383624363 406190502 609285753 767248726 812381004 1150873089 1218571506 1534497452 2301746178 2437143012 3452619267 4603492356 6905238534 10357857801 13810477068 20715715602 41431431204