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41617981441 = 892517392521
BaseRepresentation
bin100110110000101000…
…000000000000000001
310222102102120111210001
4212300220000000001
51140213200401231
631041413440001
73002222001601
oct466050000001
9128372514701
1041617981441
11167172a1493
128095940001
133c03342a2a
14202b422c01
151138a88b61
hex9b0a00001

41617981441 has 16 divisors (see below), whose sum is σ = 42327230400. Its totient is φ = 40914720000.

The previous prime is 41617981439. The next prime is 41617981459. The reversal of 41617981441 is 14418971614.

It is a cyclic number.

It is not a de Polignac number, because 41617981441 - 21 = 41617981439 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 41617981391 and 41617981400.

It is not an unprimeable number, because it can be changed into a prime (41617981411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16507261 + ... + 16509781.

It is an arithmetic number, because the mean of its divisors is an integer number (2645451900).

It is a Proth number, since it is equal to 19845 ⋅ 221 + 1 and 19845 < 221.

Almost surely, 241617981441 is an apocalyptic number.

It is an amenable number.

41617981441 is a deficient number, since it is larger than the sum of its proper divisors (709248959).

41617981441 is a wasteful number, since it uses less digits than its factorization.

41617981441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3600.

The product of its digits is 193536, while the sum is 46.

The spelling of 41617981441 in words is "forty-one billion, six hundred seventeen million, nine hundred eighty-one thousand, four hundred forty-one".

Divisors: 1 89 251 739 2521 22339 65771 185489 224369 632771 1863019 16508521 56316619 165808691 467617769 41617981441