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107741240046 = 234112915113807
BaseRepresentation
bin110010001010111100…
…0001101101011101110
3101022002200011002020000
41210111320031223232
53231123224140141
6121255020405130
710532633300316
oct1442570155356
9338080132200
10107741240046
1141769137350
1218a6a3a67a6
13a210563b5b
14530120c446
152c08b705b6
hex1915e0daee

107741240046 has 160 divisors (see below), whose sum is σ = 274273274880. Its totient is φ = 31312008000.

The previous prime is 107741240027. The next prime is 107741240053. The reversal of 107741240046 is 640042147701.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7796475 + ... + 7810281.

It is an arithmetic number, because the mean of its divisors is an integer number (1714207968).

Almost surely, 2107741240046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107741240046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137136637440).

107741240046 is an abundant number, since it is smaller than the sum of its proper divisors (166532034834).

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

107741240046 is a wasteful number, since it uses less digits than its factorization.

107741240046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14012 (or 14003 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Adding to 107741240046 its reverse (640042147701), we get a palindrome (747783387747).

The spelling of 107741240046 in words is "one hundred seven billion, seven hundred forty-one million, two hundred forty thousand, forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 81 87 99 151 162 174 198 261 297 302 319 453 522 594 638 783 891 906 957 1359 1566 1661 1782 1914 2349 2718 2871 3322 4077 4379 4698 4983 5742 8154 8613 8758 9966 12231 13137 13807 14949 17226 24462 25839 26274 27614 29898 39411 41421 44847 48169 51678 78822 82842 89694 96338 118233 124263 134541 144507 151877 236466 248526 269082 289014 303754 354699 372789 400403 433521 455631 709398 745578 800806 867042 911262 1118367 1201209 1300563 1366893 2084857 2236734 2402418 2601126 2733786 3603627 3901689 4100679 4169714 4404433 6254571 7207254 7803378 8201358 8808866 10810881 12302037 12509142 13213299 18763713 21621762 22933427 24604074 26426598 32432643 37527426 39639897 45866854 56291139 60460853 64865286 68800281 79279794 112582278 118919691 120921706 137600562 168873417 181382559 206400843 237839382 337746834 356759073 362765118 412801686 544147677 619202529 665069383 713518146 1088295354 1238405058 1330138766 1632443031 1857607587 1995208149 3264886062 3715215174 3990416298 4897329093 5985624447 9794658186 11971248894 17956873341 35913746682 53870620023 107741240046