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40424444031141 = 347956365917027
BaseRepresentation
bin10010011000100000011001…
…01000000111000010100101
312022010112120000020211020000
421030100030220013002211
520244303230132444031
6221550422212531513
711341366256554452
oct1114201450070245
9168115500224200
1040424444031141
1111975a018798a5
12464a640620b99
1319730161bc051
149da7a6c60829
154a17ec5b63e6
hex24c40ca070a5

40424444031141 has 80 divisors (see below), whose sum is σ = 61356706329600. Its totient is φ = 26519369883552.

The previous prime is 40424444031077. The next prime is 40424444031143. The reversal of 40424444031141 is 14113044442404.

40424444031141 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 44 + 440 + 31 + 141 = 666.

It is not a de Polignac number, because 40424444031141 - 26 = 40424444031077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40424444031096 and 40424444031105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40424444031143) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2374129270 + ... + 2374146296.

It is an arithmetic number, because the mean of its divisors is an integer number (766958829120).

Almost surely, 240424444031141 is an apocalyptic number.

It is an amenable number.

40424444031141 is a deficient number, since it is larger than the sum of its proper divisors (20932262298459).

40424444031141 is a wasteful number, since it uses less digits than its factorization.

40424444031141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18340 (or 18331 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 40424444031141 its reverse (14113044442404), we get a palindrome (54537488473545).

The spelling of 40424444031141 in words is "forty trillion, four hundred twenty-four billion, four hundred forty-four million, thirty-one thousand, one hundred forty-one".

Divisors: 1 3 9 27 79 81 237 563 659 711 1689 1977 2133 5067 5931 6399 15201 17027 17793 44477 45603 51081 52061 53379 133431 153243 156183 371017 400293 459729 468549 1113051 1200879 1345133 1379187 1405647 3339153 3602637 4035399 4216941 9586201 10017459 11220793 12106197 28758603 29310343 30052377 33662379 36318591 86275809 87931029 100987137 108955773 258827427 263793087 302961411 757309879 776482281 791379261 886442647 908884233 2271929637 2374137783 2659327941 6317306459 6815788911 7977983823 18951919377 20447366733 23933951469 56855758131 61342100199 71801854407 170567274393 499067210261 511701823179 1497201630783 4491604892349 13474814677047 40424444031141