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40442214044032 = 2717101184015607
BaseRepresentation
bin10010011001000001011111…
…10011010101000110000000
312022012020102102200000020121
421030200233303111012000
520300101123243402112
6222002521401550024
711342565523306303
oct1114405763250600
9168166372600217
1040442214044032
11119824a0557569
124651b7b7a5314
1319748b8896188
149db5b0d00b3a
154a1edc690407
hex24c82fcd5180

40442214044032 has 64 divisors (see below), whose sum is σ = 86152427353440. Its totient is φ = 18843198054400.

The previous prime is 40442214043993. The next prime is 40442214044033. The reversal of 40442214044032 is 23044041224404.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40442214044033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91788028 + ... + 92227579.

Almost surely, 240442214044032 is an apocalyptic number.

It is an amenable number.

40442214044032 is an abundant number, since it is smaller than the sum of its proper divisors (45710213309408).

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

40442214044032 is a wasteful number, since it uses less digits than its factorization.

40442214044032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184015739 (or 184015727 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 40442214044032 its reverse (23044041224404), we get a palindrome (63486255268436).

The spelling of 40442214044032 in words is "forty trillion, four hundred forty-two billion, two hundred fourteen million, forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 101 128 136 202 272 404 544 808 1088 1616 1717 2176 3232 3434 6464 6868 12928 13736 27472 54944 109888 219776 184015607 368031214 736062428 1472124856 2944249712 3128265319 5888499424 6256530638 11776998848 12513061276 18585576307 23553997696 25026122552 37171152614 50052245104 74342305228 100104490208 148684610456 200208980416 297369220912 315954797219 400417960832 594738441824 631909594438 1189476883648 1263819188876 2378953767296 2527638377752 5055276755504 10110553511008 20221107022016 40442214044032