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41310211344 = 24317229221071
BaseRepresentation
bin100110011110010001…
…111100110100010000
310221121222110011120120
4212132101330310100
51134100403230334
630551101110240
72661464000643
oct463621746420
9127558404516
1041310211344
11165795a0236
12800a858380
133b8465434c
141ddc5c9a5a
15111ba42949
hex99e47cd10

41310211344 has 80 divisors (see below), whose sum is σ = 113489521920. Its totient is φ = 12903413760.

The previous prime is 41310211303. The next prime is 41310211351. The reversal of 41310211344 is 44311201314.

It is a super-2 number, since 2×413102113442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76329 + ... + 297399.

It is an arithmetic number, because the mean of its divisors is an integer number (1418619024).

Almost surely, 241310211344 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 41310211344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56744760960).

41310211344 is an abundant number, since it is smaller than the sum of its proper divisors (72179310576).

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

41310211344 is a wasteful number, since it uses less digits than its factorization.

41310211344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221328 (or 221322 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 41310211344 its reverse (44311201314), we get a palindrome (85621412658).

The spelling of 41310211344 in words is "forty-one billion, three hundred ten million, two hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 229 272 408 458 687 816 916 1374 1832 2748 3664 3893 5496 7786 10992 11679 15572 23358 31144 46716 62288 93432 186864 221071 442142 663213 884284 1326426 1768568 2652852 3537136 3758207 5305704 7516414 10611408 11274621 15032828 22549242 30065656 45098484 50625259 60131312 90196968 101250518 151875777 180393936 202501036 303751554 405002072 607503108 810004144 860629403 1215006216 1721258806 2430012432 2581888209 3442517612 5163776418 6885035224 10327552836 13770070448 20655105672 41310211344