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41264031424 = 2671164113063
BaseRepresentation
bin100110011011100001…
…110010011011000000
310221111202112222122011
4212123201302123000
51134002043001144
630542331222304
72660363323420
oct463341623300
9127452488564
1041264031424
1116555519610
127bb72a7994
133b77c05955
141dd6408480
15111796ea34
hex99b8726c0

41264031424 has 112 divisors (see below), whose sum is σ = 102255376896. Its totient is φ = 16050585600.

The previous prime is 41264031409. The next prime is 41264031427. The reversal of 41264031424 is 42413046214.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (41264031427) 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, 3152317 + ... + 3165379.

Almost surely, 241264031424 is an apocalyptic number.

41264031424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41264031424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51127688448).

41264031424 is an abundant number, since it is smaller than the sum of its proper divisors (60991345472).

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

41264031424 is a wasteful number, since it uses less digits than its factorization.

41264031424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13734 (or 13724 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 41264031424 its reverse (42413046214), we get a palindrome (83677077638).

The spelling of 41264031424 in words is "forty-one billion, two hundred sixty-four million, thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 641 704 1232 1282 2464 2564 4487 4928 5128 7051 8974 10256 13063 14102 17948 20512 26126 28204 35896 41024 49357 52252 56408 71792 91441 98714 104504 112816 143584 143693 182882 197428 209008 225632 287168 287386 365764 394856 418016 451264 574772 731528 789712 836032 1005851 1149544 1463056 1579424 2011702 2299088 2926112 3158848 4023404 4598176 5852224 8046808 8373383 9196352 16093616 16746766 32187232 33493532 58613681 64374464 66987064 92107213 117227362 133974128 184214426 234454724 267948256 368428852 468909448 535896512 644750491 736857704 937818896 1289500982 1473715408 1875637792 2579001964 2947430816 3751275584 5158003928 5894861632 10316007856 20632015712 41264031424