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40031354646 = 23210124191367
BaseRepresentation
bin100101010010000011…
…011111111100010110
310211022212001111222200
4211102003133330112
51123441011322041
630220134505330
72615004620523
oct452203377426
9124285044880
1040031354646
1115a82724278
127912505246
133a0c70ccca
141d1a81014a
15109462c1b6
hex9520dff16

40031354646 has 48 divisors (see below), whose sum is σ = 87957780768. Its totient is φ = 13156704000.

The previous prime is 40031354641. The next prime is 40031354647. The reversal of 40031354646 is 64645313004.

40031354646 is a `hidden beast` number, since 4 + 0 + 0 + 3 + 1 + 3 + 5 + 4 + 646 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 40031354646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40031354641) 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 23 ways as a sum of consecutive naturals, for example, 392455 + ... + 483821.

It is an arithmetic number, because the mean of its divisors is an integer number (1832453766).

Almost surely, 240031354646 is an apocalyptic number.

40031354646 is an abundant number, since it is smaller than the sum of its proper divisors (47926426122).

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

40031354646 is a wasteful number, since it uses less digits than its factorization.

40031354646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91717 (or 91714 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 40031354646 in words is "forty billion, thirty-one million, three hundred fifty-four thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 18 101 202 241 303 482 606 723 909 1446 1818 2169 4338 24341 48682 73023 91367 146046 182734 219069 274101 438138 548202 822303 1644606 9228067 18456134 22019447 27684201 44038894 55368402 66058341 83052603 132116682 166105206 198175023 396350046 2223964147 4447928294 6671892441 13343784882 20015677323 40031354646