Search a number
-
+
11144364409980 = 22325130347515837
BaseRepresentation
bin1010001000101011111111…
…1000011100010001111100
31110110101112220202120000200
42202022333320130101330
52430042124242104410
635411352245523500
72230103511341064
oct242127770342174
943411486676020
1011144364409980
1136073311a394a
1212bba29113590
1362aba8267859
142a75666963a4
15144d556343c0
hexa22bfe1c47c

11144364409980 has 72 divisors (see below), whose sum is σ = 33830516402592. Its totient is φ = 2969549686656.

The previous prime is 11144364409967. The next prime is 11144364409987. The reversal of 11144364409980 is 8990446344111.

It is a happy number.

11144364409980 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 4 + 36 + 440 + 99 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11144364409987) 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 23 ways as a sum of consecutive naturals, for example, 23523379 + ... + 23992458.

Almost surely, 211144364409980 is an apocalyptic number.

11144364409980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11144364409980 is an abundant number, since it is smaller than the sum of its proper divisors (22686151992612).

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

11144364409980 is a wasteful number, since it uses less digits than its factorization.

11144364409980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47517155 (or 47517150 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 11144364409980 in words is "eleven trillion, one hundred forty-four billion, three hundred sixty-four million, four hundred nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1303 2606 3909 5212 6515 7818 11727 13030 15636 19545 23454 26060 39090 46908 58635 78180 117270 234540 47515837 95031674 142547511 190063348 237579185 285095022 427642533 475158370 570190044 712737555 855285066 950316740 1425475110 1710570132 2138212665 2850950220 4276425330 8552850660 61913135611 123826271222 185739406833 247652542444 309565678055 371478813666 557218220499 619131356110 742957627332 928697034165 1114436440998 1238262712220 1857394068330 2228872881996 2786091102495 3714788136660 5572182204990 11144364409980