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214055150433444 = 223316211222697183
BaseRepresentation
bin110000101010111010011001…
…001101000011010010100100
31001001220110202110211022102000
4300222322121031003102210
5211024034422002332234
62035131324545445300
763041655113642025
oct6052723115032244
91031813673738360
10214055150433444
1162228309016951
12200113a4940830
1392594110326a8
143ac0478842c4c
1519b30ebaa1899
hexc2ae993434a4

214055150433444 has 48 divisors (see below), whose sum is σ = 555300153085440. Its totient is φ = 71307699654240.

The previous prime is 214055150433409. The next prime is 214055150433461. The reversal of 214055150433444 is 444334051550412.

214055150433444 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 55 + 150 + 4 + 3 + 3 + 444 = 666.

It is a super-2 number, since 2×2140551504334442 (a number of 29 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 214055150433444.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 611173524 + ... + 611523659.

It is an arithmetic number, because the mean of its divisors is an integer number (11568753189280).

Almost surely, 2214055150433444 is an apocalyptic number.

It is an amenable number.

214055150433444 is an abundant number, since it is smaller than the sum of its proper divisors (341245002651996).

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

214055150433444 is a wasteful number, since it uses less digits than its factorization.

214055150433444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222698817 (or 1222698809 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 214055150433444 in words is "two hundred fourteen trillion, fifty-five billion, one hundred fifty million, four hundred thirty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1621 3242 4863 6484 9726 14589 19452 29178 43767 58356 87534 175068 1222697183 2445394366 3668091549 4890788732 7336183098 11004274647 14672366196 22008549294 33012823941 44017098588 66025647882 132051295764 1981992133643 3963984267286 5945976400929 7927968534572 11891952801858 17837929202787 23783905603716 35675858405574 53513787608361 71351716811148 107027575216722 214055150433444