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40442102040340 = 225711132020085017
BaseRepresentation
bin10010011001000001010010…
…01000000100011100010100
312022012020010121220122001201
421030200221020010130110
520300100411110242330
6222002502321202244
711342562663301030
oct1114405110043424
9168166117818051
1040442102040340
1111982443307530
124651b4a190384
13197489b60bac0
149db5a00a71c0
154a1ed2918eca
hex24c829204714

40442102040340 has 96 divisors (see below), whose sum is σ = 114029759096064. Its totient is φ = 11635689692160.

The previous prime is 40442102040313. The next prime is 40442102040383. The reversal of 40442102040340 is 4304020124404.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 40442102040299 and 40442102040308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1010022489 + ... + 1010062528.

It is an arithmetic number, because the mean of its divisors is an integer number (1187809990584).

Almost surely, 240442102040340 is an apocalyptic number.

It is an amenable number.

40442102040340 is an abundant number, since it is smaller than the sum of its proper divisors (73587657055724).

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

40442102040340 is a wasteful number, since it uses less digits than its factorization.

40442102040340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020085057 (or 2020085055 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 40442102040340 its reverse (4304020124404), we get a palindrome (44746122164744).

The spelling of 40442102040340 in words is "forty trillion, four hundred forty-two billion, one hundred two million, forty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 2020085017 4040170034 8080340068 10100425085 14140595119 20200850170 22220935187 26261105221 28281190238 40401700340 44441870374 52522210442 56562380476 70702975595 88883740748 105044420884 111104675935 131305526105 141405951190 155546546309 183827736547 222209351870 262611052210 282811902380 288872157431 311093092618 367655473094 444418703740 525222104420 577744314862 622186185236 735310946188 777732731545 919138682735 1155488629724 1444360787155 1555465463090 1838277365470 2022105102017 2888721574310 3110930926180 3676554730940 4044210204034 5777443148620 8088420408068 10110525510085 20221051020170 40442102040340