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1020244114440 = 233256914101319
BaseRepresentation
bin11101101100010110100…
…10011011110000001000
310121112102120021222210100
432312023102123300020
5113203424443130230
62100405500045400
7133465412612565
oct16661322336010
93545376258710
101020244114440
11363757228791
12145891833860
1375293404c95
1437546d1586c
151b813b52660
hexed8b49bc08

1020244114440 has 96 divisors (see below), whose sum is σ = 3320592724800. Its totient is φ = 271671304320.

The previous prime is 1020244114433. The next prime is 1020244114511. The reversal of 1020244114440 is 444114420201.

It is a happy number.

1020244114440 is a `hidden beast` number, since 1 + 0 + 202 + 4 + 4 + 1 + 14 + 440 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1801900 + ... + 2299419.

It is an arithmetic number, because the mean of its divisors is an integer number (34589507550).

Almost surely, 21020244114440 is an apocalyptic number.

1020244114440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020244114440 is an abundant number, since it is smaller than the sum of its proper divisors (2300348610360).

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

1020244114440 is a wasteful number, since it uses less digits than its factorization.

1020244114440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4102027 (or 4102020 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 1020244114440 its reverse (444114420201), we get a palindrome (1464358534641).

The spelling of 1020244114440 in words is "one trillion, twenty billion, two hundred forty-four million, one hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 691 1382 2073 2764 3455 4146 5528 6219 6910 8292 10365 12438 13820 16584 20730 24876 27640 31095 41460 49752 62190 82920 124380 248760 4101319 8202638 12303957 16405276 20506595 24607914 32810552 36911871 41013190 49215828 61519785 73823742 82026380 98431656 123039570 147647484 164052760 184559355 246079140 295294968 369118710 492158280 738237420 1476474840 2834011429 5668022858 8502034287 11336045716 14170057145 17004068574 22672091432 25506102861 28340114290 34008137148 42510171435 51012205722 56680228580 68016274296 85020342870 102024411444 113360457160 127530514305 170040685740 204048822888 255061028610 340081371480 510122057220 1020244114440