Search a number
-
+
41001410031114 = 23131994192937283
BaseRepresentation
bin10010101001010011000100…
…11110101110111000001010
312101011200210202120102212010
421110221202132232320022
520333231341431443424
6223111442052400350
711431153106624451
oct1124514236567012
9171150722512763
1041001410031114
1112078667070235
1247224213160b6
1319b5554a14830
14a1a69bcc5b98
154b181a15a229
hex254a627aee0a

41001410031114 has 64 divisors (see below), whose sum is σ = 92968563340800. Its totient is φ = 11950555050432.

The previous prime is 41001410031107. The next prime is 41001410031137. The reversal of 41001410031114 is 41113001410014.

It is a super-3 number, since 3×410014100311143 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12490317 + ... + 15427599.

It is an arithmetic number, because the mean of its divisors is an integer number (1452633802200).

Almost surely, 241001410031114 is an apocalyptic number.

41001410031114 is an abundant number, since it is smaller than the sum of its proper divisors (51967153309686).

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

41001410031114 is a wasteful number, since it uses less digits than its factorization.

41001410031114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946739.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 41001410031114 its reverse (41113001410014), we get a palindrome (82114411441128).

The spelling of 41001410031114 in words is "forty-one trillion, one billion, four hundred ten million, thirty-one thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 494 741 1482 9419 18838 28257 56514 122447 178961 244894 357922 367341 536883 734682 1073766 2326493 2937283 4652986 5874566 6979479 8811849 13958958 17623698 38184679 55808377 76369358 111616754 114554037 167425131 229108074 334850262 725508901 1451017802 2176526703 4353053406 27666268577 55332537154 82998805731 165997611462 359661491501 525659102963 719322983002 1051318205926 1078984474503 1576977308889 2157968949006 3153954617778 6833568338519 13667136677038 20500705015557 41001410031114