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130440020402420 = 22527193823627433
BaseRepresentation
bin11101101010001001101111…
…000101001010000011110100
3122002211221111022000202010022
4131222021233011022003310
5114044112130210334140
61141231152414144312
736321660206336531
oct3552115705120364
9562757438022108
10130440020402420
1138620335a53273
1212768196ab2098
1357a259726a401
14242d48b51dd88
15101309e6590b5
hex76a26f14a0f4

130440020402420 has 48 divisors (see below), whose sum is σ = 274096902051840. Its totient is φ = 52143092741376.

The previous prime is 130440020402389. The next prime is 130440020402423. The reversal of 130440020402420 is 24204020044031.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 130440020402420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130440020402423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207581024 + ... + 208208456.

It is an arithmetic number, because the mean of its divisors is an integer number (5710352126080).

Almost surely, 2130440020402420 is an apocalyptic number.

130440020402420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130440020402420 is an abundant number, since it is smaller than the sum of its proper divisors (143656881649420).

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

130440020402420 is a wasteful number, since it uses less digits than its factorization.

130440020402420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633984 (or 633982 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 130440020402420 its reverse (24204020044031), we get a palindrome (154644040446451).

The spelling of 130440020402420 in words is "one hundred thirty trillion, four hundred forty billion, twenty million, four hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 2719 3823 5438 7646 10876 13595 15292 19115 27190 38230 54380 76460 627433 1254866 2509732 3137165 6274330 10394737 12548660 20789474 41578948 51973685 103947370 207894740 1705990327 2398676359 3411980654 4797352718 6823961308 8529951635 9594705436 11993381795 17059903270 23986763590 34119806540 47973527180 6522001020121 13044002040242 26088004080484 32610005100605 65220010201210 130440020402420