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41023342410498 = 23272672647262261
BaseRepresentation
bin10010101001111011111011…
…10000000111101100000010
312101020210102021012202021200
421110331331300013230002
520334111301124113443
6223125510251402030
711432560445026500
oct1124757560075402
9171223367182250
1041023342410498
11120869a1350508
124726722453316
1319b763b84c006
14a1b77caa3670
154b21a087cdd3
hex254f7dc07b02

41023342410498 has 144 divisors (see below), whose sum is σ = 104978829219264. Its totient is φ = 11541609414720.

The previous prime is 41023342410481. The next prime is 41023342410499. The reversal of 41023342410498 is 89401424332014.

41023342410498 is a `hidden beast` number, since 4 + 1 + 0 + 2 + 33 + 424 + 104 + 98 = 666.

41023342410498 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (41023342410499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 156290688 + ... + 156552948.

It is an arithmetic number, because the mean of its divisors is an integer number (729019647356).

Almost surely, 241023342410498 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41023342410498, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52489414609632).

41023342410498 is an abundant number, since it is smaller than the sum of its proper divisors (63955486808766).

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

41023342410498 is a wasteful number, since it uses less digits than its factorization.

41023342410498 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264997 (or 264987 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 41023342410498 in words is "forty-one trillion, twenty-three billion, three hundred forty-two million, four hundred ten thousand, four hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 67 98 126 134 147 201 294 402 441 469 603 882 938 1206 1407 2647 2814 3283 4221 5294 6566 7941 8442 9849 15882 18529 19698 23823 29547 37058 47646 55587 59094 111174 129703 166761 177349 259406 262261 333522 354698 389109 524522 532047 778218 786783 1064094 1167327 1241443 1573566 1596141 1835827 2334654 2360349 2482886 3192282 3671654 3724329 4720698 5507481 7448658 8690101 11014962 11172987 12850789 16522443 17380202 17571487 22345974 25701578 26070303 33044886 35142974 38552367 52140606 52714461 77104734 78210909 105428922 115657101 123000409 156421818 158143383 231314202 246000818 316286766 369001227 694204867 738002454 861002863 1107003681 1388409734 1722005726 2082614601 2214007362 2583008589 4165229202 4859434069 5166017178 6247843803 7749025767 9718868138 12495687606 14578302207 15498051534 29156604414 34016038483 43734906621 46511726089 68032076966 87469813242 93023452178 102048115449 139535178267 204096230898 279070356534 306144346347 325582082623 418605534801 612288692694 651164165246 837211069602 976746247869 1953492495738 2279074578361 2930238743607 4558149156722 5860477487214 6837223735083 13674447470166 20511671205249 41023342410498