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42141420024 = 23311241662351
BaseRepresentation
bin100111001111110100…
…110000100111111000
311000202220111221112020
4213033310300213320
51142301200420044
631205352514440
73021206105604
oct471764604770
9130686457466
1042141420024
1116965807660
1282010aba20
133c879133c2
14207ab5a504
1511699d1a19
hex9cfd309f8

42141420024 has 64 divisors (see below), whose sum is σ = 115408212480. Its totient is φ = 12717120000.

The previous prime is 42141420001. The next prime is 42141420043. The reversal of 42141420024 is 42002414124.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42141419976 and 42141420003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267552 + ... + 394799.

It is an arithmetic number, because the mean of its divisors is an integer number (1803253320).

Almost surely, 242141420024 is an apocalyptic number.

42141420024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42141420024 is an abundant number, since it is smaller than the sum of its proper divisors (73266792456).

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

42141420024 is a wasteful number, since it uses less digits than its factorization.

42141420024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662612 (or 662608 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 42141420024 its reverse (42002414124), we get a palindrome (84143834148).

The spelling of 42141420024 in words is "forty-two billion, one hundred forty-one million, four hundred twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 241 264 482 723 964 1446 1928 2651 2892 5302 5784 7953 10604 15906 21208 31812 63624 662351 1324702 1987053 2649404 3974106 5298808 7285861 7948212 14571722 15896424 21857583 29143444 43715166 58286888 87430332 159626591 174860664 319253182 478879773 638506364 957759546 1277012728 1755892501 1915519092 3511785002 3831038184 5267677503 7023570004 10535355006 14047140008 21070710012 42141420024