Search a number
-
+
42431033013424 = 2411817272949887
BaseRepresentation
bin10011010010111001111101…
…01001100111010010110000
312120020100220122102122122221
421221130332221213102300
521030142223422412144
6230124314130410424
711636353360521436
oct1151347651472260
9176210818378587
1042431033013424
1112579999a63590
124913503130a14
131a8a2c985abb3
14a6995c838d56
154d8addc6ed84
hex26973ea674b0

42431033013424 has 40 divisors (see below), whose sum is σ = 89684902084608. Its totient is φ = 19286590658880.

The previous prime is 42431033013407. The next prime is 42431033013427.

42431033013424 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 42431033013424.

It is not an unprimeable number, because it can be changed into a prime (42431033013427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12909009 + ... + 15858895.

Almost surely, 242431033013424 is an apocalyptic number.

42431033013424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42431033013424 is an abundant number, since it is smaller than the sum of its proper divisors (47253869071184).

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

42431033013424 is a wasteful number, since it uses less digits than its factorization.

42431033013424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3031633 (or 3031627 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

It can be divided in two parts, 4243103 and 3013424, that added together give a palindrome (7256527).

The spelling of 42431033013424 in words is "forty-two trillion, four hundred thirty-one billion, thirty-three million, thirteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 81727 163454 326908 653816 898997 1307632 1797994 2949887 3595988 5899774 7191976 11799548 14383952 23599096 32448757 47198192 64897514 129795028 259590056 519180112 241085414849 482170829698 964341659396 1928683318792 2651939563339 3857366637584 5303879126678 10607758253356 21215516506712 42431033013424