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2241451411416 = 2332723193361923
BaseRepresentation
bin100000100111100000111…
…010100100011111011000
321221021120121021102010100
4200213200322210133120
5243210443030131131
64433413014415400
7320640153432030
oct40474072443730
97837517242110
102241451411416
11794659983998
123024a9661560
131334a2545209
147a6b5bd48c0
153d48a5867e6
hex209e0ea47d8

2241451411416 has 96 divisors (see below), whose sum is σ = 7239470434560. Its totient is φ = 612570568896.

The previous prime is 2241451411411. The next prime is 2241451411417. The reversal of 2241451411416 is 6141141541422.

2241451411416 is a `hidden beast` number, since 2 + 2 + 4 + 14 + 514 + 114 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241451411411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96669370 + ... + 96692553.

It is an arithmetic number, because the mean of its divisors is an integer number (75411150360).

Almost surely, 22241451411416 is an apocalyptic number.

It is an amenable number.

2241451411416 is an abundant number, since it is smaller than the sum of its proper divisors (4998019023144).

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

2241451411416 is a wasteful number, since it uses less digits than its factorization.

2241451411416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193361965 (or 193361958 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

Adding to 2241451411416 its reverse (6141141541422), we get a palindrome (8382592952838).

The spelling of 2241451411416 in words is "two trillion, two hundred forty-one billion, four hundred fifty-one million, four hundred eleven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1288 1449 1656 1932 2898 3864 5796 11592 193361923 386723846 580085769 773447692 1160171538 1353533461 1546895384 1740257307 2320343076 2707066922 3480514614 4060600383 4447324229 4640686152 5414133844 6961029228 8121200766 8894648458 10828267688 12181801149 13341972687 13922058456 16242401532 17789296916 24363602298 26683945374 31131269603 32484803064 35578593832 40025918061 48727204596 53367890748 62262539206 80051836122 93393808809 97454409192 106735781496 124525078412 160103672244 186787617618 249050156824 280181426427 320207344488 373575235236 560362852854 747150470472 1120725705708 2241451411416