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40143214234224 = 24321607173473753
BaseRepresentation
bin10010010000010100100100…
…00001100100101001110000
312021010122122121202220111200
421020022102001210221300
520230201300320443344
6221213312114211200
711312152161666213
oct1110122201445160
9167118577686450
1040143214234224
11118777069a3a32
124604035283b00
1319526480401aa
149cad2895977a
1549933cbee069
hex248292064a70

40143214234224 has 60 divisors (see below), whose sum is σ = 112415155962096. Its totient is φ = 13372744594176.

The previous prime is 40143214234171. The next prime is 40143214234231. The reversal of 40143214234224 is 42243241234104.

40143214234224 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 3 + 2 + 1 + 423 + 4 + 224 = 666.

It is a super-2 number, since 2×401432142342242 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86505469 + ... + 86968284.

Almost surely, 240143214234224 is an apocalyptic number.

It is an amenable number.

40143214234224 is an abundant number, since it is smaller than the sum of its proper divisors (72271941727872).

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

40143214234224 is a wasteful number, since it uses less digits than its factorization.

40143214234224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173475374 (or 173475365 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 40143214234224 its reverse (42243241234104), we get a palindrome (82386455468328).

The spelling of 40143214234224 in words is "forty trillion, one hundred forty-three billion, two hundred fourteen million, two hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1607 3214 4821 6428 9642 12856 14463 19284 25712 28926 38568 57852 77136 115704 231408 173473753 346947506 520421259 693895012 1040842518 1387790024 1561263777 2081685036 2775580048 3122527554 4163370072 6245055108 8326740144 12490110216 24980220432 278772321071 557544642142 836316963213 1115089284284 1672633926426 2230178568568 2508950889639 3345267852852 4460357137136 5017901779278 6690535705704 10035803558556 13381071411408 20071607117112 40143214234224