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1440220442001 = 3112231676311637
BaseRepresentation
bin10100111101010011110…
…100111110110110010001
312002200110102211221112220
4110331103310332312101
5142044032413121001
63021343402211253
7206024001524625
oct24752364766621
95080412757486
101440220442001
11505880990700
121b315aab3b29
13a5a73550093
144d9c819b185
15276e418cc36
hex14f53d3ed91

1440220442001 has 96 divisors (see below), whose sum is σ = 2220563165184. Its totient is φ = 828089539200.

The previous prime is 1440220441999. The next prime is 1440220442009. The reversal of 1440220442001 is 1002440220441.

It is not a de Polignac number, because 1440220442001 - 21 = 1440220441999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1440220442009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 879791755 + ... + 879793391.

It is an arithmetic number, because the mean of its divisors is an integer number (23130866304).

Almost surely, 21440220442001 is an apocalyptic number.

1440220442001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1440220442001 is a deficient number, since it is larger than the sum of its proper divisors (780342723183).

1440220442001 is a wasteful number, since it uses less digits than its factorization.

1440220442001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 1440220442001 its reverse (1002440220441), we get a palindrome (2442660662442).

The spelling of 1440220442001 in words is "one trillion, four hundred forty billion, two hundred twenty million, four hundred forty-two thousand, one".

Divisors: 1 3 11 23 33 69 121 167 253 363 501 631 759 1637 1837 1893 2783 3841 4911 5511 6941 8349 11523 14513 18007 20207 20823 37651 42251 43539 54021 60621 76351 105377 112953 126753 159643 198077 229053 273379 316131 414161 464761 478929 594231 820137 1032947 1159147 1242483 1394283 1756073 2423671 3007169 3098841 3477441 4555771 5268219 6287717 7271013 9021507 11362417 12750617 13667313 18863151 23757781 26660381 33078859 34087251 38251851 69164887 71273343 79981143 99236577 124986587 172502149 207494661 261335591 293264191 374959761 517506447 760813757 784006773 879792573 1897523639 2282441271 2874691501 3967549427 5692570917 8624074503 11902648281 20872760029 43643043697 62618280087 130929131091 480073480667 1440220442001