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440442120104 = 237219547108109
BaseRepresentation
bin1100110100011000110…
…01010110011110101000
31120002212011112221020222
412122030121112132220
524204011140320404
6534200351105212
743551365151500
oct6321431263650
91502764487228
10440442120104
1115a877104858
127143b212208
13326c218ba1c
141746337aa00
15b6cc113dbe
hex668c6567a8

440442120104 has 96 divisors (see below), whose sum is σ = 1013077188000. Its totient is φ = 178497551232.

The previous prime is 440442120059. The next prime is 440442120127. The reversal of 440442120104 is 401021244044.

It is a super-2 number, since 2×4404421201042 (a number of 24 digits) contains 22 as substring.

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, 4020002 + ... + 4128110.

It is an arithmetic number, because the mean of its divisors is an integer number (10552887375).

Almost surely, 2440442120104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440442120104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506538594000).

440442120104 is an abundant number, since it is smaller than the sum of its proper divisors (572635067896).

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

440442120104 is a wasteful number, since it uses less digits than its factorization.

440442120104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108695 (or 108684 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 440442120104 its reverse (401021244044), we get a palindrome (841463364148).

The spelling of 440442120104 in words is "four hundred forty billion, four hundred forty-two million, one hundred twenty thousand, one hundred four".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 392 532 547 931 1064 1094 1862 2188 3724 3829 4376 7448 7658 10393 15316 20786 26803 30632 41572 53606 72751 83144 107212 108109 145502 214424 216218 291004 432436 509257 582008 756763 864872 1018514 1513526 2037028 2054071 3027052 4074056 4108142 5297341 6054104 8216284 10594682 14378497 16432568 21189364 28756994 42378728 57513988 59135623 100649479 115027976 118271246 201298958 236542492 402597916 413949361 473084984 805195832 827898722 1123576837 1655797444 2247153674 2897645527 3311594888 4494307348 5795291054 7865037859 8988614696 11590582108 15730075718 23181164216 31460151436 55055265013 62920302872 110110530026 220221060052 440442120104