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401683371144780 = 223515114430657083
BaseRepresentation
bin101101101010101000011001…
…0101001100011011001001100
31221200020112222210001120101010
41123111100302221203121030
5410122140021003113110
63542150443200445220
7150415444252365414
oct13325206251433114
91850215883046333
10401683371144780
11106a96a6316912a
1239074b18319810
131431976bb3a80a
1471298166c9644
153168a8db39020
hex16d5432a6364c

401683371144780 has 48 divisors (see below), whose sum is σ = 1125457789849344. Its totient is φ = 107044675101120.

The previous prime is 401683371144773. The next prime is 401683371144829. The reversal of 401683371144780 is 87441173386104.

It is a happy number.

It is a super-2 number, since 2×4016833711447802 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401683371144780.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2215237882 + ... + 2215419201.

It is an arithmetic number, because the mean of its divisors is an integer number (23447037288528).

Almost surely, 2401683371144780 is an apocalyptic number.

It is an amenable number.

401683371144780 is an abundant number, since it is smaller than the sum of its proper divisors (723774418704564).

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

401683371144780 is a wasteful number, since it uses less digits than its factorization.

401683371144780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4430658606 (or 4430658604 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 57.

The spelling of 401683371144780 in words is "four hundred one trillion, six hundred eighty-three billion, three hundred seventy-one million, one hundred forty-four thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1511 3022 4533 6044 7555 9066 15110 18132 22665 30220 45330 90660 4430657083 8861314166 13291971249 17722628332 22153285415 26583942498 44306570830 53167884996 66459856245 88613141660 132919712490 265839424980 6694722852413 13389445704826 20084168557239 26778891409652 33473614262065 40168337114478 66947228524130 80336674228956 100420842786195 133894457048260 200841685572390 401683371144780