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42041044014024 = 23311219773487023
BaseRepresentation
bin10011000111100011100010…
…11111101001001111001000
312111212002021122022210210010
421203301301133221033020
521002300024231422044
6225225220004551520
711566236155650206
oct1143616137511710
9174762248283703
1042041044014024
111243956337a100
12486ba046b25a0
131a5c5b828c163
14a54b24060076
154cd8b61a8bb9
hex263c717e93c8

42041044014024 has 96 divisors (see below), whose sum is σ = 116112437400960. Its totient is φ = 12675041554560.

The previous prime is 42041044014019. The next prime is 42041044014107.

42041044014024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42041044013982 and 42041044014000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36171424 + ... + 37315599.

It is an arithmetic number, because the mean of its divisors is an integer number (1209504556260).

Almost surely, 242041044014024 is an apocalyptic number.

42041044014024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42041044014024 is an abundant number, since it is smaller than the sum of its proper divisors (74071393386936).

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

42041044014024 is a wasteful number, since it uses less digits than its factorization.

42041044014024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73487251 (or 73487236 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 4204104 and 4014024, that added together give a palindrome (8218128).

The spelling of 42041044014024 in words is "forty-two trillion, forty-one billion, forty-four million, fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 197 242 264 363 394 484 591 726 788 968 1182 1452 1576 2167 2364 2904 4334 4728 6501 8668 13002 17336 23837 26004 47674 52008 71511 95348 143022 190696 286044 572088 73487023 146974046 220461069 293948092 440922138 587896184 808357253 881844276 1616714506 1763688552 2425071759 3233429012 4850143518 6466858024 8891929783 9700287036 14476943531 17783859566 19400574072 26675789349 28953887062 35567719132 43430830593 53351578698 57907774124 71135438264 86861661186 106703157396 115815548248 159246378841 173723322372 213406314792 318492757682 347446644744 477739136523 636985515364 955478273046 1273971030728 1751710167251 1910956546092 3503420334502 3821913092184 5255130501753 7006840669004 10510261003506 14013681338008 21020522007012 42041044014024