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214034454942 = 23711795864279
BaseRepresentation
bin1100011101010101110…
…0101001100110011110
3202110110102120212100220
43013111130221212132
512001320310024232
6242154233102210
721314654564160
oct3072534514636
9673412525326
10214034454942
11828539629a0
1235593857966
131724cb02999
14a505da6930
15587a61142c
hex31d572999e

214034454942 has 64 divisors (see below), whose sum is σ = 540452044800. Its totient is φ = 54889642080.

The previous prime is 214034454923. The next prime is 214034454983. The reversal of 214034454942 is 249454430412.

214034454942 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 214034454894 and 214034454903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2895642 + ... + 2968637.

It is an arithmetic number, because the mean of its divisors is an integer number (8444563200).

Almost surely, 2214034454942 is an apocalyptic number.

214034454942 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

214034454942 is an abundant number, since it is smaller than the sum of its proper divisors (326417589858).

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

214034454942 is a wasteful number, since it uses less digits than its factorization.

214034454942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5864381.

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 214034454942 in words is "two hundred fourteen billion, thirty-four million, four hundred fifty-four thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 79 154 158 231 237 462 474 553 869 1106 1659 1738 2607 3318 5214 6083 12166 18249 36498 5864279 11728558 17592837 35185674 41049953 64507069 82099906 123149859 129014138 193521207 246299718 387042414 451549483 463278041 903098966 926556082 1354648449 1389834123 2709296898 2779668246 3242946287 5096058451 6485892574 9728838861 10192116902 15288175353 19457677722 30576350706 35672409157 71344818314 107017227471 214034454942