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13242411420416 = 28675711352123
BaseRepresentation
bin1100000010110011110100…
…1110101000101100000000
31201212221222102100121012122
43000230331032220230000
53213430424310423131
644055251350343412
72534506204566413
oct300547516505400
951787872317178
1013242411420416
114246091021872
12159a57495ab68
137509a5813a19
1433ad16a67b7a
1517e6eb172d7b
hexc0b3d3a8b00

13242411420416 has 72 divisors (see below), whose sum is σ = 26874621918144. Its totient is φ = 6510954193920.

The previous prime is 13242411420377. The next prime is 13242411420421. The reversal of 13242411420416 is 61402411424231.

It is a super-2 number, since 2×132424114204162 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9117731 + ... + 10469853.

It is an arithmetic number, because the mean of its divisors is an integer number (373258637752).

Almost surely, 213242411420416 is an apocalyptic number.

13242411420416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13242411420416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13437310959072).

13242411420416 is an abundant number, since it is smaller than the sum of its proper divisors (13632210497728).

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

13242411420416 is an equidigital number, since it uses as much as digits as its factorization.

13242411420416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352777 (or 1352763 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

Adding to 13242411420416 its reverse (61402411424231), we get a palindrome (74644822844647).

The spelling of 13242411420416 in words is "thirteen trillion, two hundred forty-two billion, four hundred eleven million, four hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 536 571 1072 1142 2144 2284 4288 4568 8576 9136 17152 18272 36544 38257 73088 76514 146176 153028 306056 612112 1224224 1352123 2448448 2704246 4896896 5408492 9793792 10816984 21633968 43267936 86535872 90592241 173071744 181184482 346143488 362368964 724737928 772062233 1449475856 1544124466 2898951712 3088248932 5797903424 6176497864 11595806848 12352995728 23191613696 24705991456 49411982912 51728169611 98823965824 103456339222 197647931648 206912678444 413825356888 827650713776 1655301427552 3310602855104 6621205710208 13242411420416