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41004553344 = 273401266291
BaseRepresentation
bin100110001100000011…
…111101010010000000
310220211200022010121220
4212030003331102000
51132434131201334
630500501515040
72651062644516
oct461403752200
9126750263556
1041004553344
1116432001917
127b44412a80
133b36225121
141dadb824b6
1510eecb7449
hex98c0fd480

41004553344 has 64 divisors (see below), whose sum is σ = 109190371680. Its totient is φ = 13634048000.

The previous prime is 41004553339. The next prime is 41004553349. The reversal of 41004553344 is 44335540014.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (41004553339) and next prime (41004553349).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (41004553349) 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, 20839 + ... + 287129.

Almost surely, 241004553344 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 41004553344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54595185840).

41004553344 is an abundant number, since it is smaller than the sum of its proper divisors (68185818336).

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

41004553344 is a wasteful number, since it uses less digits than its factorization.

41004553344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266709 (or 266697 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The spelling of 41004553344 in words is "forty-one billion, four million, five hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 401 802 1203 1604 2406 3208 4812 6416 9624 12832 19248 25664 38496 51328 76992 153984 266291 532582 798873 1065164 1597746 2130328 3195492 4260656 6390984 8521312 12781968 17042624 25563936 34085248 51127872 102255744 106782691 213565382 320348073 427130764 640696146 854261528 1281392292 1708523056 2562784584 3417046112 5125569168 6834092224 10251138336 13668184448 20502276672 41004553344