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41041197824 = 2811139104851
BaseRepresentation
bin100110001110001111…
…101111101100000000
310220221020020212101212
4212032033233230000
51133023021312244
630504251145252
72652016265654
oct461617575400
9126836225355
1041041197824
1116450760410
127b54745228
133b409b5553
141db49a0a64
151103104d9e
hex98e3efb00

41041197824 has 72 divisors (see below), whose sum is σ = 90013344960. Its totient is φ = 18520704000.

The previous prime is 41041197811. The next prime is 41041197871. The reversal of 41041197824 is 42879114014.

41041197824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 338999 + ... + 443849.

Almost surely, 241041197824 is an apocalyptic number.

41041197824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41041197824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45006672480).

41041197824 is an abundant number, since it is smaller than the sum of its proper divisors (48972147136).

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

41041197824 is a wasteful number, since it uses less digits than its factorization.

41041197824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105017 (or 105003 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The spelling of 41041197824 in words is "forty-one billion, forty-one million, one hundred ninety-seven thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 139 176 256 278 352 556 704 1112 1408 1529 2224 2816 3058 4448 6116 8896 12232 17792 24464 35584 48928 97856 104851 195712 209702 391424 419404 838808 1153361 1677616 2306722 3355232 4613444 6710464 9226888 13420928 14574289 18453776 26841856 29148578 36907552 58297156 73815104 116594312 147630208 160317179 233188624 295260416 320634358 466377248 641268716 932754496 1282537432 1865508992 2565074864 3731017984 5130149728 10260299456 20520598912 41041197824