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41440100021010 = 23251018875139647
BaseRepresentation
bin10010110110000100001100…
…11100001111001100010010
312102201122010211011221022200
421123002012130033030102
520412423311101133020
6224045152533344030
711504643211205025
oct1133020634171422
9172648124157280
1041440100021010
1112227714136699
124793451798016
131a17a27ba4102
14a339d668b1bc
154bce4351e590
hex25b08670f312

41440100021010 has 96 divisors (see below), whose sum is σ = 108933729196032. Its totient is φ = 10928943254400.

The previous prime is 41440100021009. The next prime is 41440100021011. The reversal of 41440100021010 is 1012000104414.

41440100021010 is a `hidden beast` number, since 4 + 1 + 440 + 1 + 0 + 0 + 0 + 210 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (41440100021009) and next prime (41440100021011).

It is a super-3 number, since 3×414401000210103 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (41440100021011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5493007 + ... + 10632653.

It is an arithmetic number, because the mean of its divisors is an integer number (1134726345792).

Almost surely, 241440100021010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41440100021010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54466864598016).

41440100021010 is an abundant number, since it is smaller than the sum of its proper divisors (67493629175022).

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

41440100021010 is a wasteful number, since it uses less digits than its factorization.

41440100021010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5140648 (or 5140645 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 41440100021010 its reverse (1012000104414), we get a palindrome (42452100125424).

The spelling of 41440100021010 in words is "forty-one trillion, four hundred forty billion, one hundred million, twenty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 887 909 1010 1515 1774 1818 2661 3030 4435 4545 5322 7983 8870 9090 13305 15966 26610 39915 79830 89587 179174 268761 447935 537522 806283 895870 1343805 1612566 2687610 4031415 5139647 8062830 10279294 15418941 25698235 30837882 46256823 51396470 77094705 92513646 154189410 231284115 462568230 519104347 1038208694 1557313041 2595521735 3114626082 4558866889 4671939123 5191043470 7786565205 9117733778 9343878246 13676600667 15573130410 22794334445 23359695615 27353201334 41029802001 45588668890 46719391230 68383003335 82059604002 136766006670 205149010005 410298020010 460445555789 920891111578 1381336667367 2302227778945 2762673334734 4144010002101 4604455557890 6906683336835 8288020004202 13813366673670 20720050010505 41440100021010