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121413431424 = 2733110199381
BaseRepresentation
bin111000100010011001…
…1011111000010000000
3102121101111210100220110
41301010303133002000
53442123314301144
6131435423111320
711525511065505
oct1610463370200
9377344710813
10121413431424
114754479806a
121b645142540
13b5abc8951c
145c3ad534ac
1532591000b9
hex1c44cdf080

121413431424 has 64 divisors (see below), whose sum is σ = 332907828480. Its totient is φ = 39165619200.

The previous prime is 121413431423. The next prime is 121413431431. The reversal of 121413431424 is 424134314121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 121413431391 and 121413431400.

It is not an unprimeable number, because it can be changed into a prime (121413431423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5087787 + ... + 5111594.

It is an arithmetic number, because the mean of its divisors is an integer number (5201684820).

Almost surely, 2121413431424 is an apocalyptic number.

It is an amenable number.

121413431424 is an abundant number, since it is smaller than the sum of its proper divisors (211494397056).

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

121413431424 is a wasteful number, since it uses less digits than its factorization.

121413431424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10199429 (or 10199417 counting only the distinct ones).

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

Adding to 121413431424 its reverse (424134314121), we get a palindrome (545547745545).

The spelling of 121413431424 in words is "one hundred twenty-one billion, four hundred thirteen million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 5952 11904 10199381 20398762 30598143 40797524 61196286 81595048 122392572 163190096 244785144 316180811 326380192 489570288 632361622 652760384 948542433 979140576 1264723244 1305520768 1897084866 1958281152 2529446488 3794169732 3916562304 5058892976 7588339464 10117785952 15176678928 20235571904 30353357856 40471143808 60706715712 121413431424