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42040214043444 = 2233413207942049
BaseRepresentation
bin10011000111100010000000…
…00001100011101100110100
312111212000010210120221012000
421203301000001203230310
521002241324243342234
6225225001355455300
711566206460220001
oct1143610001435464
9174760123527160
1042040214043444
1112439177928a01
12486b812757530
131a5c4b53447c6
14a54a85b328a8
154cd8683b1899
hex263c40063b34

42040214043444 has 48 divisors (see below), whose sum is σ = 108993526992000. Its totient is φ = 14013355891968.

The previous prime is 42040214043427. The next prime is 42040214043461. The reversal of 42040214043444 is 44434041204024.

It is a happy number.

42040214043444 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 0 + 214 + 0 + 434 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (42040214043427) and next prime (42040214043461).

It is a super-2 number, since 2×420402140434442 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42040214043399 and 42040214043408.

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, 44155332 + ... + 45097380.

It is an arithmetic number, because the mean of its divisors is an integer number (2270698479000).

Almost surely, 242040214043444 is an apocalyptic number.

It is an amenable number.

42040214043444 is an abundant number, since it is smaller than the sum of its proper divisors (66953312948556).

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

42040214043444 is a wasteful number, since it uses less digits than its factorization.

42040214043444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355269 (or 1355261 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 42040214043444 its reverse (44434041204024), we get a palindrome (86474255247468).

The spelling of 42040214043444 in words is "forty-two trillion, forty billion, two hundred fourteen million, forty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 413207 826414 942049 1239621 1652828 1884098 2479242 2826147 3718863 3768196 4958484 5652294 7437726 8478441 11156589 11304588 14875452 16956882 22313178 25435323 33913764 44626356 50870646 101741292 389261241143 778522482286 1167783723429 1557044964572 2335567446858 3503351170287 4671134893716 7006702340574 10510053510861 14013404681148 21020107021722 42040214043444