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40040120322342 = 2337105926244239
BaseRepresentation
bin10010001101010100100010…
…01001100000100100100110
312020202210112211101120001000
421012222101021200210212
520222004131300303332
6221054102150014130
711301542336130360
oct1106522111404446
9166683484346030
1040040120322342
1111837a13095068
1245a8063347346
1319459c855787a
149c5d48a47d30
1549680706eb7c
hex246a91260926

40040120322342 has 32 divisors (see below), whose sum is σ = 101689194470400. Its totient is φ = 11440034377704.

The previous prime is 40040120322337. The next prime is 40040120322359. The reversal of 40040120322342 is 24322302104004.

40040120322342 is a `hidden beast` number, since 4 + 0 + 0 + 401 + 20 + 3 + 2 + 234 + 2 = 666.

It is a super-2 number, since 2×400401203223422 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52963121742 + ... + 52963122497.

It is an arithmetic number, because the mean of its divisors is an integer number (3177787327200).

Almost surely, 240040120322342 is an apocalyptic number.

40040120322342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

40040120322342 is an abundant number, since it is smaller than the sum of its proper divisors (61649074148058).

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

40040120322342 is a wasteful number, since it uses less digits than its factorization.

40040120322342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105926244257 (or 105926244251 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 40040120322342 its reverse (24322302104004), we get a palindrome (64362422426346).

The spelling of 40040120322342 in words is "forty trillion, forty billion, one hundred twenty million, three hundred twenty-two thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 105926244239 211852488478 317778732717 635557465434 741483709673 953336198151 1482967419346 1906672396302 2224451129019 2860008594453 4448902258038 5720017188906 6673353387057 13346706774114 20020060161171 40040120322342