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40244042000240 = 2451391942106849
BaseRepresentation
bin10010010011010000010111…
…10100111110011101110000
312021111021220111000010020222
421021220023310332131300
520233324244223001430
6221331505131152212
711322351606603551
oct1111501364763560
9167437814003228
1040244042000240
1111906447604981
12461b6942a5668
13195bcc61a49c0
149d1b718d2328
1549bc8e9479e5
hex249a0bd3e770

40244042000240 has 80 divisors (see below), whose sum is σ = 100874538408000. Its totient is φ = 14843169202176.

The previous prime is 40244042000153. The next prime is 40244042000251. The reversal of 40244042000240 is 4200024044204.

40244042000240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×402440420002402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20097665 + ... + 22009184.

It is an arithmetic number, because the mean of its divisors is an integer number (1260931730100).

Almost surely, 240244042000240 is an apocalyptic number.

40244042000240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40244042000240 is an abundant number, since it is smaller than the sum of its proper divisors (60630496407760).

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

40244042000240 is a wasteful number, since it uses less digits than its factorization.

40244042000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42107794 (or 42107788 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 40244042000240 its reverse (4200024044204), we get a palindrome (44444066044444).

The spelling of 40244042000240 in words is "forty trillion, two hundred forty-four billion, forty-two million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 919 1040 1838 3676 4595 7352 9190 11947 14704 18380 23894 36760 47788 59735 73520 95576 119470 191152 238940 477880 955760 42106849 84213698 168427396 210534245 336854792 421068490 547389037 673709584 842136980 1094778074 1684273960 2189556148 2736945185 3368547920 4379112296 5473890370 8758224592 10947780740 21895561480 38696194231 43791122960 77392388462 154784776924 193480971155 309569553848 386961942310 503050525003 619139107696 773923884620 1006101050006 1547847769240 2012202100012 2515252625015 3095695538480 4024404200024 5030505250030 8048808400048 10061010500060 20122021000120 40244042000240