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1441124051340 = 2235171447976411
BaseRepresentation
bin10100111110001001101…
…011111110100110001100
312002202210102011001112110
4110332021223332212030
5142102410224120330
63022013201504020
7206055253215321
oct24761153764614
95082712131473
101441124051340
115061a4a58786
121b3371642010
13a5b8880b56c
144da721b6b48
152774867ddb0
hex14f89afe98c

1441124051340 has 96 divisors (see below), whose sum is σ = 4275465997824. Its totient is φ = 361443548160.

The previous prime is 1441124051329. The next prime is 1441124051359. The reversal of 1441124051340 is 431504211441.

It is a super-2 number, since 2×14411240513402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1441124051298 and 1441124051307.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 987735 + ... + 1964145.

It is an arithmetic number, because the mean of its divisors is an integer number (44536104144).

Almost surely, 21441124051340 is an apocalyptic number.

1441124051340 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 1441124051340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137732998912).

1441124051340 is an abundant number, since it is smaller than the sum of its proper divisors (2834341946484).

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

1441124051340 is a wasteful number, since it uses less digits than its factorization.

1441124051340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977887 (or 977885 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 1441124051340 its reverse (431504211441), we get a palindrome (1872628262781).

The spelling of 1441124051340 in words is "one trillion, four hundred forty-one billion, one hundred twenty-four million, fifty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1447 2894 4341 5788 7235 8682 14470 17364 21705 24599 28940 43410 49198 73797 86820 98396 122995 147594 245990 295188 368985 491980 737970 976411 1475940 1952822 2929233 3905644 4882055 5858466 9764110 11716932 14646165 16598987 19528220 29292330 33197974 49796961 58584660 66395948 82994935 99593922 165989870 199187844 248984805 331979740 497969610 995939220 1412866717 2825733434 4238600151 5651466868 7064333585 8477200302 14128667170 16954400604 21193000755 24018734189 28257334340 42386001510 48037468378 72056202567 84772003020 96074936756 120093670945 144112405134 240187341890 288224810268 360281012835 480374683780 720562025670 1441124051340