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2461413041040 = 243529353651299
BaseRepresentation
bin100011110100010111101…
…001100110001110010000
322201022100002212221121110
4203310113221212032100
5310311433214303130
65122431343453320
7342555052432662
oct43642751461620
98638302787543
102461413041040
11869974546958
123390562b7240
1314b1582c6145
14871c1050532
15440611e7ab0
hex23d17a66390

2461413041040 has 80 divisors (see below), whose sum is σ = 7893497016000. Its totient is φ = 633743126016.

The previous prime is 2461413041033. The next prime is 2461413041047. The reversal of 2461413041040 is 401403141642.

It is an interprime number because it is at equal distance from previous prime (2461413041033) and next prime (2461413041047).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2461413040989 and 2461413041007.

It is not an unprimeable number, because it can be changed into a prime (2461413041047) 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, 176818690 + ... + 176832609.

It is an arithmetic number, because the mean of its divisors is an integer number (98668712700).

Almost surely, 22461413041040 is an apocalyptic number.

2461413041040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2461413041040 is an abundant number, since it is smaller than the sum of its proper divisors (5432083974960).

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

2461413041040 is a wasteful number, since it uses less digits than its factorization.

2461413041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353651344 (or 353651338 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 2461413041040 its reverse (401403141642), we get a palindrome (2862816182682).

The spelling of 2461413041040 in words is "two trillion, four hundred sixty-one billion, four hundred thirteen million, forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 353651299 707302598 1060953897 1414605196 1768256495 2121907794 2829210392 3536512990 4243815588 5304769485 5658420784 7073025980 8487631176 10255887671 10609538970 14146051960 16975262352 20511775342 21219077940 28292103920 30767663013 41023550684 42438155880 51279438355 61535326026 82047101368 84876311760 102558876710 123070652052 153838315065 164094202736 205117753420 246141304104 307676630130 410235506840 492282608208 615353260260 820471013680 1230706520520 2461413041040