Search a number
-
+
40070097590832 = 24322017313793911
BaseRepresentation
bin10010001110001100010111…
…11011101101101000110000
312020212122220222220120122100
421013012023323231220300
520223002024440401312
6221115540530540400
711303653241532531
oct1107061373555060
9166778828816570
1040070097590832
11118496a6512621
1245b1a2a737700
131948794cc116a
149c7590056688
154974adba85dc
hex24718beeda30

40070097590832 has 60 divisors (see below), whose sum is σ = 112146187417264. Its totient is φ = 13356036120960.

The previous prime is 40070097590713. The next prime is 40070097590837. The reversal of 40070097590832 is 23809579007004.

40070097590832 is a `hidden beast` number, since 40 + 0 + 7 + 0 + 0 + 9 + 7 + 590 + 8 + 3 + 2 = 666.

40070097590832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×400700975908322 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40070097590837) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3992044 + ... + 9801867.

Almost surely, 240070097590832 is an apocalyptic number.

It is an amenable number.

40070097590832 is an abundant number, since it is smaller than the sum of its proper divisors (72076089826432).

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

40070097590832 is a wasteful number, since it uses less digits than its factorization.

40070097590832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13814098 (or 13814089 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 40070097590832 in words is "forty trillion, seventy billion, ninety-seven million, five hundred ninety thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 20173 40346 60519 80692 121038 161384 181557 242076 322768 363114 484152 726228 968304 1452456 2904912 13793911 27587822 41381733 55175644 82763466 110351288 124145199 165526932 220702576 248290398 331053864 496580796 662107728 993161592 1986323184 278264566603 556529133206 834793699809 1113058266412 1669587399618 2226116532824 2504381099427 3339174799236 4452233065648 5008762198854 6678349598472 10017524397708 13356699196944 20035048795416 40070097590832