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40041020656 = 2471331786753
BaseRepresentation
bin100101010010101000…
…010111110011110000
310211100112020121021001
4211102220113303300
51124001000130111
630221122011344
72615153026360
oct452250276360
9124315217231
1040041020656
1115a8812650a
1279157a6b54
133a11715840
141d1bc089a0
1510953db1c1
hex952a17cf0

40041020656 has 80 divisors (see below), whose sum is σ = 95784744384. Its totient is φ = 15790252032.

The previous prime is 40041020633. The next prime is 40041020659. The reversal of 40041020656 is 65602014004.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40041020659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 418176 + ... + 504928.

Almost surely, 240041020656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40041020656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47892372192).

40041020656 is an abundant number, since it is smaller than the sum of its proper divisors (55743723728).

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

40041020656 is a wasteful number, since it uses less digits than its factorization.

40041020656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87098 (or 87092 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 40041020656 in words is "forty billion, forty-one million, twenty thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 317 364 634 728 1268 1456 2219 2536 4121 4438 5072 8242 8876 16484 17752 28847 32968 35504 57694 65936 86753 115388 173506 230776 347012 461552 607271 694024 1127789 1214542 1388048 2255578 2429084 4511156 4858168 7894523 9022312 9716336 15789046 18044624 27500701 31578092 55001402 63156184 110002804 126312368 192504907 220005608 357509113 385009814 440011216 715018226 770019628 1430036452 1540039256 2502563791 2860072904 3080078512 5005127582 5720145808 10010255164 20020510328 40041020656