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41131532320 = 2551097234341
BaseRepresentation
bin100110010011101000…
…010110000000100000
310221011112020100000221
4212103220112000200
51133214133013240
630521235252424
72654164153564
oct462350260040
9127145210027
1041131532320
111649775001a
127b7aa4a114
133b56623808
141dc29976a4
15110aeeaa4a
hex993a16020

41131532320 has 48 divisors (see below), whose sum is σ = 97262241048. Its totient is φ = 16437544960.

The previous prime is 41131532257. The next prime is 41131532327. The reversal of 41131532320 is 2323513114.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 36874752784 + 4256779536 = 192028^2 + 65244^2 .

It is not an unprimeable number, because it can be changed into a prime (41131532327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58350 + ... + 292690.

Almost surely, 241131532320 is an apocalyptic number.

41131532320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41131532320 is an abundant number, since it is smaller than the sum of its proper divisors (56130708728).

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

41131532320 is a wasteful number, since it uses less digits than its factorization.

41131532320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235453 (or 235445 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The spelling of 41131532320 in words is "forty-one billion, one hundred thirty-one million, five hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1097 2194 4388 5485 8776 10970 17552 21940 35104 43880 87760 175520 234341 468682 937364 1171705 1874728 2343410 3749456 4686820 7498912 9373640 18747280 37494560 257072077 514144154 1028288308 1285360385 2056576616 2570720770 4113153232 5141441540 8226306464 10282883080 20565766160 41131532320