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131443001400 = 233521597137177
BaseRepresentation
bin111101001101010011…
…1010000100000111000
3110120021111012022102010
41322122213100200320
54123143402021100
6140214543405520
712332165035344
oct1723247204070
9416244168363
10131443001400
1150821169477
1221583bb38a0
13c519b2b009
14650cdb2624
15364489e750
hex1e9a9d0838

131443001400 has 96 divisors (see below), whose sum is σ = 407731425840. Its totient is φ = 35029263360.

The previous prime is 131443001399. The next prime is 131443001407. The reversal of 131443001400 is 4100344131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131443001407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 889612 + ... + 1026788.

Almost surely, 2131443001400 is an apocalyptic number.

131443001400 is a gapful number since it is divisible by the number (10) 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 131443001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203865712920).

131443001400 is an abundant number, since it is smaller than the sum of its proper divisors (276288424440).

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

131443001400 is a wasteful number, since it uses less digits than its factorization.

131443001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138793 (or 138784 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 131443001400 its reverse (4100344131), we get a palindrome (135543345531).

The spelling of 131443001400 in words is "one hundred thirty-one billion, four hundred forty-three million, one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1597 3194 4791 6388 7985 9582 12776 15970 19164 23955 31940 38328 39925 47910 63880 79850 95820 119775 137177 159700 191640 239550 274354 319400 411531 479100 548708 685885 823062 958200 1097416 1371770 1646124 2057655 2743540 3292248 3429425 4115310 5487080 6858850 8230620 10288275 13717700 16461240 20576550 27435400 41153100 82306200 219071669 438143338 657215007 876286676 1095358345 1314430014 1752573352 2190716690 2628860028 3286075035 4381433380 5257720056 5476791725 6572150070 8762866760 10953583450 13144300140 16430375175 21907166900 26288600280 32860750350 43814333800 65721500700 131443001400