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41240011340 = 225112177912689
BaseRepresentation
bin100110011010000110…
…001010001001001100
310221110002100122021102
4212122012022021030
51133424420330330
630540112322232
72656652212133
oct463206121114
9127402318242
1041240011340
1116542a02a00
127bab243378
133b72c45798
141dd315491a
1511157c7945
hex99a18a24c

41240011340 has 144 divisors (see below), whose sum is σ = 102076329600. Its totient is φ = 13934469120.

The previous prime is 41240011327. The next prime is 41240011361. The reversal of 41240011340 is 4311004214.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3243716 + ... + 3256404.

It is an arithmetic number, because the mean of its divisors is an integer number (708863400).

Almost surely, 241240011340 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 41240011340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51038164800).

41240011340 is an abundant number, since it is smaller than the sum of its proper divisors (60836318260).

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

41240011340 is a wasteful number, since it uses less digits than its factorization.

41240011340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12816 (or 12803 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 41240011340 its reverse (4311004214), we get a palindrome (45551015554).

The spelling of 41240011340 in words is "forty-one billion, two hundred forty million, eleven thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 79 85 110 121 158 170 187 220 242 316 340 374 395 484 605 748 790 869 935 1210 1343 1580 1738 1870 2057 2420 2686 3476 3740 4114 4345 5372 6715 8228 8690 9559 10285 12689 13430 14773 17380 19118 20570 25378 26860 29546 38236 41140 47795 50756 59092 63445 73865 95590 126890 139579 147730 162503 191180 215713 253780 279158 295460 325006 431426 558316 650012 697895 812515 862852 1002431 1078565 1395790 1535369 1625030 2004862 2157130 2372843 2791580 3070738 3250060 4009724 4314260 4745686 5012155 6141476 7676845 9491372 10024310 11026741 11864215 15353690 17041327 20048620 22053482 23728430 26101273 30707380 34082654 44106964 47456860 52202546 55133705 68165308 85206635 104405092 110267410 121294151 130506365 170413270 187454597 220534820 242588302 261012730 340826540 374909194 485176604 522025460 606470755 749818388 937272985 1212941510 1874545970 2062000567 2425883020 3749091940 4124001134 8248002268 10310002835 20620005670 41240011340