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42415422451424 = 2511198536069529
BaseRepresentation
bin10011010010011100111000…
…01100000010111011100000
312120011212121201101221100222
421221032130030002323200
521024413241121421144
6230113213122102212
711635261465113041
oct1151163414027340
9176155551357328
1042415422451424
111257330922a280
1249104871aa968
131a889ac688969
14a68cbb4bc8c8
154d84c85532ee
hex26939c302ee0

42415422451424 has 48 divisors (see below), whose sum is σ = 91101363156720. Its totient is φ = 19278763176960.

The previous prime is 42415422451399. The next prime is 42415422451469.

42415422451424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3953492 + ... + 10023020.

It is an arithmetic number, because the mean of its divisors is an integer number (1897945065765).

Almost surely, 242415422451424 is an apocalyptic number.

42415422451424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42415422451424 is an abundant number, since it is smaller than the sum of its proper divisors (48685940705296).

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

42415422451424 is a wasteful number, since it uses less digits than its factorization.

42415422451424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6089403 (or 6089395 counting only the distinct ones).

The product of its digits is 1638400, while the sum is 44.

It can be divided in two parts, 4241542 and 2451424, that added together give a palindrome (6692966).

The spelling of 42415422451424 in words is "forty-two trillion, four hundred fifteen billion, four hundred twenty-two million, four hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 19853 39706 79412 158824 218383 317648 436766 635296 873532 1747064 3494128 6069529 6988256 12139058 24278116 48556232 66764819 97112464 133529638 194224928 267059276 534118552 1068237104 2136474208 120498359237 240996718474 481993436948 963986873896 1325481951607 1927973747792 2650963903214 3855947495584 5301927806428 10603855612856 21207711225712 42415422451424