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41354304256 = 28899671877
BaseRepresentation
bin100110100000111010…
…001001101100000000
310221202001102022200101
4212200322021230000
51134143200214011
630555314132144
72662540533466
oct464072115400
9127661368611
1041354304256
11165a1476961
128021581054
133b90821b25
1420043c6836
1511208522c1
hex9a0e89b00

41354304256 has 72 divisors (see below), whose sum is σ = 83605404960. Its totient is φ = 20412801024.

The previous prime is 41354304191. The next prime is 41354304293. The reversal of 41354304256 is 65240345314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22031190 + ... + 22033066.

It is an arithmetic number, because the mean of its divisors is an integer number (1161186180).

Almost surely, 241354304256 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 41354304256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41802702480).

41354304256 is an abundant number, since it is smaller than the sum of its proper divisors (42251100704).

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

41354304256 is an equidigital number, since it uses as much as digits as its factorization.

41354304256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

The spelling of 41354304256 in words is "forty-one billion, three hundred fifty-four million, three hundred four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 712 967 1424 1877 1934 2848 3754 3868 5696 7508 7736 11392 15016 15472 22784 30032 30944 60064 61888 86063 120128 123776 167053 172126 240256 247552 334106 344252 480512 668212 688504 1336424 1377008 1815059 2672848 2754016 3630118 5345696 5508032 7260236 10691392 11016064 14520472 21382784 22032128 29040944 42765568 58081888 116163776 161540251 232327552 323080502 464655104 646161004 1292322008 2584644016 5169288032 10338576064 20677152128 41354304256