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40674115467420 = 22356724674101313
BaseRepresentation
bin10010011111110001011100…
…01101000011100010011100
312100000102000001002220122120
421033320232031003202130
520312401042024424140
6222301233010142540
711365415333010501
oct1117705615034234
9170012001086576
1040674115467420
1111a6188289a286
12468aabab81a50
13199072518bb26
14a088cdb854a8
154a806162d1d0
hex24fe2e34389c

40674115467420 has 96 divisors (see below), whose sum is σ = 115634218683648. Its totient is φ = 10680210173952.

The previous prime is 40674115467409. The next prime is 40674115467451. The reversal of 40674115467420 is 2476451147604.

40674115467420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 7866684 + ... + 11967996.

It is an arithmetic number, because the mean of its divisors is an integer number (1204523111288).

Almost surely, 240674115467420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40674115467420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57817109341824).

40674115467420 is an abundant number, since it is smaller than the sum of its proper divisors (74960103216228).

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

40674115467420 is a wasteful number, since it uses less digits than its factorization.

40674115467420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4103859 (or 4103857 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 40674115467420 in words is "forty trillion, six hundred seventy-four billion, one hundred fifteen million, four hundred sixty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 2467 4020 4934 7401 9868 12335 14802 24670 29604 37005 49340 74010 148020 165289 330578 495867 661156 826445 991734 1652890 1983468 2479335 3305780 4101313 4958670 8202626 9917340 12303939 16405252 20506565 24607878 41013130 49215756 61519695 82026260 123039390 246078780 274787971 549575942 824363913 1099151884 1373939855 1648727826 2747879710 3297455652 4121819565 5495759420 8243639130 10117939171 16487278260 20235878342 30353817513 40471756684 50589695855 60707635026 101179391710 121415270052 151769087565 202358783420 303538175130 607076350260 677901924457 1355803848914 2033705773371 2711607697828 3389509622285 4067411546742 6779019244570 8134823093484 10168528866855 13558038489140 20337057733710 40674115467420