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354445422705 = 325115323335791
BaseRepresentation
bin1010010100001101001…
…01111111000001110001
31020212212220121001220100
411022012211333001301
521301401012011310
6430455135303013
734415326245213
oct5120645770161
91225786531810
10354445422705
11127357223210
125883b07aa69
132756887646a
14132260125b3
159347460ec0
hex528697f071

354445422705 has 96 divisors (see below), whose sum is σ = 683280479232. Its totient is φ = 168508454400.

The previous prime is 354445422689. The next prime is 354445422707. The reversal of 354445422705 is 507224544453.

354445422705 is a `hidden beast` number, since 3 + 544 + 45 + 42 + 27 + 0 + 5 = 666.

It is not a de Polignac number, because 354445422705 - 24 = 354445422689 is a prime.

It is a super-2 number, since 2×3544454227052 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (354445422707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61203360 + ... + 61209150.

It is an arithmetic number, because the mean of its divisors is an integer number (7117504992).

Almost surely, 2354445422705 is an apocalyptic number.

It is an amenable number.

354445422705 is a deficient number, since it is larger than the sum of its proper divisors (328835056527).

354445422705 is a wasteful number, since it uses less digits than its factorization.

354445422705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8199 (or 8196 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 45.

The spelling of 354445422705 in words is "three hundred fifty-four billion, four hundred forty-five million, four hundred twenty-two thousand, seven hundred five".

Divisors: 1 3 5 9 11 15 33 45 53 55 99 159 165 265 477 495 583 795 1749 2333 2385 2915 5247 5791 6999 8745 11665 17373 20997 25663 26235 28955 34995 52119 63701 76989 86865 104985 123649 128315 191103 230967 260595 306923 318505 370947 384945 573309 618245 920769 955515 1112841 1154835 1360139 1534615 1854735 2762307 2866545 3376153 4080417 4603845 5564205 6800695 10128459 12241251 13510403 13811535 16880765 20402085 30385377 40531209 50642295 61206255 67552015 121593627 148614433 151926885 202656045 445843299 607968135 716051359 743072165 1337529897 2148154077 2229216495 3580256795 6444462231 6687649485 7876564949 10740770385 23629694847 32222311155 39382824745 70889084541 118148474235 354445422705