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1020441411414 = 2321910932729869
BaseRepresentation
bin11101101100101110000…
…11000011111101010110
310121112221022112201100200
432312113003003331112
5113204331000131124
62100441224521330
7133503326611455
oct16662703037526
93545838481320
101020441411414
11363848634937
12145927920246
13752c5253b59
14375651d2b9c
151b826125bc9
hexed970c3f56

1020441411414 has 48 divisors (see below), whose sum is σ = 2329452668400. Its totient is φ = 321949712448.

The previous prime is 1020441411413. The next prime is 1020441411419. The reversal of 1020441411414 is 4141141440201.

1020441411414 is a `hidden beast` number, since 1 + 0 + 204 + 4 + 1 + 41 + 1 + 414 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020441411413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 991129 + ... + 1738740.

It is an arithmetic number, because the mean of its divisors is an integer number (48530263925).

Almost surely, 21020441411414 is an apocalyptic number.

1020441411414 is an abundant number, since it is smaller than the sum of its proper divisors (1309011256986).

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

1020441411414 is a wasteful number, since it uses less digits than its factorization.

1020441411414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730989 (or 2730986 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 1020441411414 its reverse (4141141440201), we get a palindrome (5161582851615).

The spelling of 1020441411414 in words is "one trillion, twenty billion, four hundred forty-one million, four hundred eleven thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 1093 2186 3279 6558 9837 19674 20767 41534 62301 124602 186903 373806 2729869 5459738 8189607 16379214 24568821 49137642 51867511 103735022 155602533 311205066 466807599 933615198 2983746817 5967493634 8951240451 17902480902 26853721353 53707442706 56691189523 113382379046 170073568569 340147137138 510220705707 1020441411414