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40442124141200 = 2452270737349579
BaseRepresentation
bin10010011001000001010100…
…11100011000001010010000
312022012020012011111110202002
421030200222130120022100
520300100432240004300
6222002504431013132
711342563352200025
oct1114405234301220
9168166164443662
1040442124141200
1111982454832201
124651b5566a1a8
1319748a3079532
149db5a2dbb54c
154a1ed48325d5
hex24c82a718290

40442124141200 has 60 divisors (see below), whose sum is σ = 97198098797040. Its totient is φ = 16170873290880.

The previous prime is 40442124141197. The next prime is 40442124141229. The reversal of 40442124141200 is 214142124404.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17591990 + ... + 19757589.

It is an arithmetic number, because the mean of its divisors is an integer number (1619968313284).

Almost surely, 240442124141200 is an apocalyptic number.

40442124141200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40442124141200 is an abundant number, since it is smaller than the sum of its proper divisors (56755974655840).

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

40442124141200 is a wasteful number, since it uses less digits than its factorization.

40442124141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37352304 (or 37352293 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 40442124141200 its reverse (214142124404), we get a palindrome (40656266265604).

The spelling of 40442124141200 in words is "forty trillion, four hundred forty-two billion, one hundred twenty-four million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 2707 5414 10828 13535 21656 27070 43312 54140 67675 108280 135350 216560 270700 541400 1082800 37349579 74699158 149398316 186747895 298796632 373495790 597593264 746991580 933739475 1493983160 1867478950 2987966320 3734957900 7469915800 14939831600 101105310353 202210620706 404421241412 505526551765 808842482824 1011053103530 1617684965648 2022106207060 2527632758825 4044212414120 5055265517650 8088424828240 10110531035300 20221062070600 40442124141200