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40321414122440 = 2351191639577551
BaseRepresentation
bin10010010101100000011111…
…00100001100101111001000
312021202200121200022011121112
421022300033210030233020
520241111224003404230
6221431222452225452
711331061142025053
oct1112601744145710
9167680550264545
1040321414122440
1111936241105520
12463268800b288
1319663a6a55829
149d57d164da9a
1549dcbc37ad95
hex24ac0f90cbc8

40321414122440 has 32 divisors (see below), whose sum is σ = 98970743756160. Its totient is φ = 14662332408000.

The previous prime is 40321414122421. The next prime is 40321414122523. The reversal of 40321414122440 is 4422141412304.

It is a super-3 number, since 3×403214141224403 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40321414122397 and 40321414122406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45819788336 + ... + 45819789215.

It is an arithmetic number, because the mean of its divisors is an integer number (3092835742380).

Almost surely, 240321414122440 is an apocalyptic number.

40321414122440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40321414122440 is an abundant number, since it is smaller than the sum of its proper divisors (58649329633720).

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

40321414122440 is a wasteful number, since it uses less digits than its factorization.

40321414122440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91639577573 (or 91639577569 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 40321414122440 its reverse (4422141412304), we get a palindrome (44743555534744).

The spelling of 40321414122440 in words is "forty trillion, three hundred twenty-one billion, four hundred fourteen million, one hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 91639577551 183279155102 366558310204 458197887755 733116620408 916395775510 1008035353061 1832791551020 2016070706122 3665583102040 4032141412244 5040176765305 8064282824488 10080353530610 20160707061220 40321414122440