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41124110112 = 25321921793449
BaseRepresentation
bin100110010011001100…
…000001111100100000
310221011000021020200100
4212103030001330200
51133210233010422
630520412222400
72654044111521
oct462314017440
9127130236610
1041124110112
1116493540668
127b7846aa00
133b54c25387
141dc19c4848
15110a5317ac
hex993301f20

41124110112 has 144 divisors (see below), whose sum is σ = 123193980000. Its totient is φ = 12976837632.

The previous prime is 41124110051. The next prime is 41124110119. The reversal of 41124110112 is 21101142114.

41124110112 is a `hidden beast` number, since 411 + 241 + 1 + 0 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (41124110119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11921764 + ... + 11925212.

It is an arithmetic number, because the mean of its divisors is an integer number (855513750).

Almost surely, 241124110112 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 41124110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61596990000).

41124110112 is an abundant number, since it is smaller than the sum of its proper divisors (82069869888).

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

41124110112 is a wasteful number, since it uses less digits than its factorization.

41124110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5663 (or 5652 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 41124110112 its reverse (21101142114), we get a palindrome (62225252226).

The spelling of 41124110112 in words is "forty-one billion, one hundred twenty-four million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2179 2736 3449 4358 5472 6537 6898 8716 10347 13074 13796 17432 19611 20694 26148 27592 31041 34864 39222 41388 41401 52296 55184 62082 65531 69728 78444 82776 82802 104592 110368 124164 124203 131062 156888 165552 165604 196593 209184 248328 248406 262124 313776 331104 331208 372609 393186 496656 496812 524248 589779 627552 662416 745218 786372 993312 993624 1048496 1179558 1324832 1490436 1572744 1987248 2096992 2359116 2980872 3145488 3974496 4718232 5961744 6290976 7515371 9436464 11923488 15030742 18872928 22546113 30061484 45092226 60122968 67638339 90184452 120245936 135276678 142792049 180368904 240491872 270553356 285584098 360737808 428376147 541106712 571168196 721475616 856752294 1082213424 1142336392 1285128441 1713504588 2164426848 2284672784 2570256882 3427009176 4569345568 5140513764 6854018352 10281027528 13708036704 20562055056 41124110112