Search a number
-
+
40442211303444 = 22321636891992383
BaseRepresentation
bin10010011001000001011111…
…01000111000000000010100
312022012020102020111202212100
421030200233220320000110
520300101122043202234
6222002521223122100
711342565461103246
oct1114405750700024
9168166366452770
1040442211303444
1111982499a55515
124651b7a8a3330
1319748b8146922
149db5b07ca096
154a1edc2ed399
hex24c82fa38014

40442211303444 has 36 divisors (see below), whose sum is σ = 102856094338816. Its totient is φ = 13398033190608.

The previous prime is 40442211303421. The next prime is 40442211303449. The reversal of 40442211303444 is 44430311224404.

40442211303444 is a `hidden beast` number, since 40 + 4 + 42 + 2 + 1 + 130 + 3 + 444 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×404422113034442 (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 = 40442211303399 and 40442211303408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40442211303449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3445990324 + ... + 3446002059.

Almost surely, 240442211303444 is an apocalyptic number.

It is an amenable number.

40442211303444 is an abundant number, since it is smaller than the sum of its proper divisors (62413883035372).

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

40442211303444 is a wasteful number, since it uses less digits than its factorization.

40442211303444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6891992556 (or 6891992551 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 40442211303444 its reverse (44430311224404), we get a palindrome (84872522527848).

The spelling of 40442211303444 in words is "forty trillion, four hundred forty-two billion, two hundred eleven million, three hundred three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 163 326 489 652 978 1467 1956 2934 5868 6891992383 13783984766 20675977149 27567969532 41351954298 62027931447 82703908596 124055862894 248111725788 1123394758429 2246789516858 3370184275287 4493579033716 6740368550574 10110552825861 13480737101148 20221105651722 40442211303444