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40442024142 = 23313218112447
BaseRepresentation
bin100101101010100010…
…000101000011001110
310212101110210200122000
4211222202011003032
51130311124233032
630325004533130
72631122350632
oct455242050316
9125343720560
1040442024142
1116173517353
127a07b511a6
133a76818b00
141d59190dc2
1510ba6ebe7c
hex96a8850ce

40442024142 has 96 divisors (see below), whose sum is σ = 97409640960. Its totient is φ = 12431746080.

The previous prime is 40442024137. The next prime is 40442024143. The reversal of 40442024142 is 24142024404.

40442024142 is a `hidden beast` number, since 4 + 0 + 44 + 202 + 414 + 2 = 666.

It is a super-2 number, since 2×404420241422 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40442024143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16525963 + ... + 16528409.

It is an arithmetic number, because the mean of its divisors is an integer number (1014683760).

Almost surely, 240442024142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40442024142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48704820480).

40442024142 is an abundant number, since it is smaller than the sum of its proper divisors (56967616818).

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

40442024142 is a wasteful number, since it uses less digits than its factorization.

40442024142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4295 (or 4276 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 40442024142 its reverse (24142024404), we get a palindrome (64584048546).

The spelling of 40442024142 in words is "forty billion, four hundred forty-two million, twenty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 234 338 351 507 702 1014 1521 1811 2447 3042 3622 4563 4894 5433 7341 9126 10866 14682 16299 22023 23543 31811 32598 44046 47086 48897 63622 66069 70629 95433 97794 132138 141258 190866 211887 286299 306059 413543 423774 572598 612118 635661 827086 858897 918177 1240629 1271322 1717794 1836354 2481258 2754531 3721887 4431517 5509062 7443774 8263593 8863034 11165661 13294551 16527186 22331322 26589102 39883653 57609721 79767306 115219442 119650959 172829163 239301918 345658326 518487489 748926373 1036974978 1497852746 1555462467 2246779119 3110924934 4493558238 6740337357 13480674714 20221012071 40442024142