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41206341300054 = 23719437731553507
BaseRepresentation
bin10010101111010000110010…
…10101011110111101010110
312101220021202202220112121220
421113220121111132331112
520400111041333100204
6223345533140551210
711452026356646030
oct1127503125367526
9171807682815556
1041206341300054
1112147569464807
1247560943b2506
1319cb983879508
14a2657cc96c50
154b6d114ab1d9
hex257a1955ef56

41206341300054 has 128 divisors (see below), whose sum is σ = 101580035420160. Its totient is φ = 10880109765504.

The previous prime is 41206341300041. The next prime is 41206341300079. The reversal of 41206341300054 is 45000314360214.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 41206341299988 and 41206341300024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25747969 + ... + 27301475.

It is an arithmetic number, because the mean of its divisors is an integer number (793594026720).

Almost surely, 241206341300054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41206341300054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50790017710080).

41206341300054 is an abundant number, since it is smaller than the sum of its proper divisors (60373694120106).

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

41206341300054 is a wasteful number, since it uses less digits than its factorization.

41206341300054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554354.

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 41206341300054 its reverse (45000314360214), we get a palindrome (86206655660268).

The spelling of 41206341300054 in words is "forty-one trillion, two hundred six billion, three hundred forty-one million, three hundred thousand, fifty-four".

Divisors: 1 2 3 6 7 14 19 21 38 42 43 57 86 114 129 133 258 266 301 399 602 773 798 817 903 1546 1634 1806 2319 2451 4638 4902 5411 5719 10822 11438 14687 16233 17157 29374 32466 33239 34314 44061 66478 88122 99717 102809 199434 205618 232673 308427 465346 616854 631541 698019 1263082 1396038 1553507 1894623 3107014 3789246 4420787 4660521 8841574 9321042 10874549 13262361 21749098 26524722 29516633 32623647 59033266 65247294 66800801 88549899 133601602 177099798 200402403 206616431 400804806 413232862 467605607 619849293 935211214 1200860911 1239698586 1269215219 1402816821 2401721822 2538430438 2805633642 3602582733 3807645657 7205165466 7615291314 8406026377 8884506533 16812052754 17769013066 22816357309 25218079131 26653519599 45632714618 50436158262 51637019173 53307039198 68449071927 103274038346 136898143854 154911057519 159714501163 309822115038 319429002326 361459134211 479143503489 722918268422 958287006978 981103364287 1084377402633 1962206728574 2168754805266 2943310092861 5886620185722 6867723550009 13735447100018 20603170650027 41206341300054