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441001117248 = 2634353415833
BaseRepresentation
bin1100110101011011011…
…01110000011001000000
31120011022010101221011220
412122231231300121000
524211132241222443
6534332040235040
743601263434666
oct6325555603100
91504263357156
10441001117248
111600336a766a
127157646ba80
1332780c2c473
14174b76ccc36
15b711232a83
hex66adb70640

441001117248 has 56 divisors (see below), whose sum is σ = 1193950721568. Its totient is φ = 143581756416.

The previous prime is 441001117057. The next prime is 441001117253. The reversal of 441001117248 is 842711100144.

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, 26699661 + ... + 26716172.

Almost surely, 2441001117248 is an apocalyptic number.

441001117248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

441001117248 is an abundant number, since it is smaller than the sum of its proper divisors (752949604320).

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

441001117248 is a wasteful number, since it uses less digits than its factorization.

441001117248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53415891 (or 53415881 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The spelling of 441001117248 in words is "four hundred forty-one billion, one million, one hundred seventeen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 688 1032 1376 2064 2752 4128 8256 53415833 106831666 160247499 213663332 320494998 427326664 640989996 854653328 1281979992 1709306656 2296880819 2563959984 3418613312 4593761638 5127919968 6890642457 9187523276 10255839936 13781284914 18375046552 27562569828 36750093104 55125139656 73500186208 110250279312 147000372416 220500558624 441001117248