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41431413012 = 22311261509919
BaseRepresentation
bin100110100101100000…
…010011000100010100
310221221102111212000020
4212211200103010110
51134322420204022
631011110545140
72664465125403
oct464540230424
9127842455006
1041431413012
1116630a52900
1280433681b0
133ba37ac202
14201073963a
1511274d435c
hex9a5813114

41431413012 has 144 divisors (see below), whose sum is σ = 108332649600. Its totient is φ = 12311481600.

The previous prime is 41431413007. The next prime is 41431413013. The reversal of 41431413012 is 21031413414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41431413013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45082689 + ... + 45083607.

Almost surely, 241431413012 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 41431413012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54166324800).

41431413012 is an abundant number, since it is smaller than the sum of its proper divisors (66901236588).

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

41431413012 is a wasteful number, since it uses less digits than its factorization.

41431413012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 41431413012 its reverse (21031413414), we get a palindrome (62462826426).

The spelling of 41431413012 in words is "forty-one billion, four hundred thirty-one million, four hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 121 122 132 183 242 244 363 366 484 509 671 726 732 919 1018 1342 1452 1527 1838 2013 2036 2684 2757 3054 3676 4026 5514 5599 6108 7381 8052 10109 11028 11198 14762 16797 20218 22143 22396 29524 30327 31049 33594 40436 44286 56059 60654 61589 62098 67188 88572 93147 111199 112118 121308 123178 124196 168177 184767 186294 222398 224236 246356 333597 336354 341539 369534 372588 444796 467771 616649 667194 672708 683078 739068 935542 1024617 1233298 1334388 1366156 1403313 1849947 1871084 2049234 2466596 2806626 3699894 3756929 4098468 5145481 5613252 6783139 7399788 7513858 10290962 11270787 13566278 15027716 15436443 20349417 20581924 22541574 27132556 28534031 30872886 40698834 45083148 56600291 57068062 61745772 81397668 85602093 113200582 114136124 169800873 171204186 226401164 313874341 339601746 342408372 627748682 679203492 941623023 1255497364 1883246046 3452617751 3766492092 6905235502 10357853253 13810471004 20715706506 41431413012