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41432341412 = 227211192934877
BaseRepresentation
bin100110100101100011…
…110101101110100100
310221221111021000112102
4212211203311232210
51134323134411122
631011142511232
72664506043200
oct464543655644
9127844230472
1041432341412
1116631527380
128043735518
133ba3a45967
1420108dbb00
151127619492
hex9a58f5ba4

41432341412 has 144 divisors (see below), whose sum is σ = 100197518400. Its totient is φ = 14765103360.

The previous prime is 41432341411. The next prime is 41432341421. The reversal of 41432341412 is 21414323414.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (41432341411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1170518 + ... + 1205394.

It is an arithmetic number, because the mean of its divisors is an integer number (695816100).

Almost surely, 241432341412 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 41432341412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50098759200).

41432341412 is an abundant number, since it is smaller than the sum of its proper divisors (58765176988).

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

41432341412 is a wasteful number, since it uses less digits than its factorization.

41432341412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34954 (or 34945 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

Adding to 41432341412 its reverse (21414323414), we get a palindrome (62846664826).

The spelling of 41432341412 in words is "forty-one billion, four hundred thirty-two million, three hundred forty-one thousand, four hundred twelve".

Divisors: 1 2 4 7 11 14 19 22 28 29 38 44 49 58 76 77 98 116 133 154 196 203 209 266 308 319 406 418 532 539 551 638 812 836 931 1078 1102 1276 1421 1463 1862 2156 2204 2233 2842 2926 3724 3857 4466 5684 5852 6061 7714 8932 10241 12122 15428 15631 20482 24244 26999 31262 34877 40964 42427 53998 62524 69754 84854 107996 139508 169708 244139 296989 383647 488278 593978 662663 767294 976556 1011433 1187956 1325326 1534588 1708973 2022866 2650652 2685529 3417946 4045732 4638641 5371058 6835892 7080031 7289293 9277282 10742116 11125763 14160062 14578586 18554564 18798703 19217227 22251526 28320124 29157172 32470487 37597406 38434454 44503052 49560217 51025051 64940974 75194812 76868908 77880341 99120434 102050102 129881948 134520589 155760682 198240868 204100204 211389497 269041178 311521364 357175357 422778994 538082356 545162387 714350714 845557988 941644123 1090324774 1428701428 1479726479 1883288246 2180649548 2959452958 3766576492 5918905916 10358085353 20716170706 41432341412