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40220014122420 = 2235111513389119083
BaseRepresentation
bin10010010010100011100111…
…01001111001010110110100
312021101222212221022110101020
421021101303221321112310
520232431042103404140
6221312452554301140
711320541305163616
oct1111216351712664
9167358787273336
1040220014122420
11118a7237490710
124616aa94277b0
131959967197612
149d09326badb6
1549b33529b6d0
hex249473a795b4

40220014122420 has 192 divisors, whose sum is σ = 123704992696320. Its totient is φ = 9682795584000.

The previous prime is 40220014122397. The next prime is 40220014122427. The reversal of 40220014122420 is 2422141002204.

It is a happy number.

40220014122420 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 not an unprimeable number, because it can be changed into a prime (40220014122427) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 337688199 + ... + 337807281.

It is an arithmetic number, because the mean of its divisors is an integer number (644296836960).

Almost surely, 240220014122420 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 40220014122420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61852496348160).

40220014122420 is an abundant number, since it is smaller than the sum of its proper divisors (83484978573900).

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

40220014122420 is a wasteful number, since it uses less digits than its factorization.

40220014122420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122646 (or 122644 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 40220014122420 its reverse (2422141002204), we get a palindrome (42642155124624).

The spelling of 40220014122420 in words is "forty trillion, two hundred twenty billion, fourteen million, one hundred twenty-two thousand, four hundred twenty".