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41102113140 = 223251132036481
BaseRepresentation
bin100110010001111000…
…000111100101110100
310221002110212200111200
4212101320013211310
51133134120110030
630514304532500
72653356124434
oct462170074564
9127073780450
1041102113140
1116482086a50
127b71021130
133b504c300a
141dbcada2c4
151108638d60
hex991e07974

41102113140 has 144 divisors (see below), whose sum is σ = 136074085056. Its totient is φ = 9959500800.

The previous prime is 41102113123. The next prime is 41102113243. The reversal of 41102113140 is 4131120114.

41102113140 is a `hidden beast` number, since 411 + 0 + 2 + 113 + 140 = 666.

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

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, 6338700 + ... + 6345180.

It is an arithmetic number, because the mean of its divisors is an integer number (944958924).

Almost surely, 241102113140 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 41102113140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68037042528).

41102113140 is an abundant number, since it is smaller than the sum of its proper divisors (94971971916).

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

41102113140 is a wasteful number, since it uses less digits than its factorization.

41102113140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9710 (or 9705 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 41102113140 its reverse (4131120114), we get a palindrome (45233233254).

The spelling of 41102113140 in words is "forty-one billion, one hundred two million, one hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 3203 6406 6481 9609 12812 12962 16015 19218 19443 25924 28827 32030 32405 35233 38436 38886 48045 57654 58329 64060 64810 70466 71291 77772 96090 97215 105699 115308 116658 129620 140932 142582 144135 176165 192180 194430 211398 213873 233316 285164 288270 291645 317097 352330 356455 388860 422796 427746 528495 576540 583290 634194 641619 704660 712910 855492 1056990 1069365 1166580 1268388 1283238 1425820 1585485 2113980 2138730 2566476 3170970 3208095 4277460 6341940 6416190 12832380 20758643 41517286 62275929 83034572 103793215 124551858 186827787 207586430 228345073 249103716 311379645 373655574 415172860 456690146 622759290 685035219 747311148 913380292 934138935 1141725365 1245518580 1370070438 1868277870 2055105657 2283450730 2740140876 3425176095 3736555740 4110211314 4566901460 6850352190 8220422628 10275528285 13700704380 20551056570 41102113140