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41242213404 = 223274114092833
BaseRepresentation
bin100110011010001110…
…100011110000011100
310221110020111111221100
4212122032203300130
51133431001312104
630540231433100
72660010013140
oct463216436034
9127406444840
1041242213404
1116544177397
127babb25790
133b73536b92
141dd3569220
151115ab0139
hex99a3a3c1c

41242213404 has 144 divisors (see below), whose sum is σ = 122179861440. Its totient is φ = 11483873280.

The previous prime is 41242213393. The next prime is 41242213423. The reversal of 41242213404 is 40431224214.

41242213404 is a `hidden beast` number, since 4 + 1 + 2 + 42 + 213 + 404 = 666.

It is a super-2 number, since 2×412422134042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14556372 + ... + 14559204.

It is an arithmetic number, because the mean of its divisors is an integer number (848471260).

Almost surely, 241242213404 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 41242213404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61089930720).

41242213404 is an abundant number, since it is smaller than the sum of its proper divisors (80937648036).

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

41242213404 is a wasteful number, since it uses less digits than its factorization.

41242213404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4300 (or 4295 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 41242213404 its reverse (40431224214), we get a palindrome (81673437618).

The spelling of 41242213404 in words is "forty-one billion, two hundred forty-two million, two hundred thirteen thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 738 861 1148 1409 1476 1722 2583 2818 2833 3444 4227 5166 5636 5666 8454 8499 9863 10332 11332 12681 16908 16998 19726 19831 25362 25497 29589 33996 39452 39662 50724 50994 57769 59178 59493 79324 88767 101988 115538 116153 118356 118986 173307 177534 178479 231076 232306 237972 346614 348459 355068 356958 404383 464612 519921 693228 696918 713916 808766 813071 1039842 1045377 1213149 1393836 1617532 1626142 2079684 2090754 2426298 2439213 3252284 3639447 3991697 4181508 4852596 4878426 7278894 7317639 7983394 9756852 11975091 14557788 14635278 15966788 23950182 27941879 29270556 35925273 47900364 55883758 71850546 83825637 111767516 143701092 163659577 167651274 251476911 327319154 335302548 490978731 502953822 654638308 981957462 1005907644 1145617039 1472936193 1963914924 2291234078 2945872386 3436851117 4582468156 5891744772 6873702234 10310553351 13747404468 20621106702 41242213404