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440044442420 = 2251159103329143
BaseRepresentation
bin1100110011101001011…
…00010101001100110100
31120001211110020211000212
412121310230111030310
524202202334124140
6534053103324552
743535466021362
oct6316454251464
91501743224025
10440044442420
1115a692685710
1271349bb0758
133265a98149b
141742661c632
15b6a725d765
hex6674b15334

440044442420 has 96 divisors (see below), whose sum is σ = 1035144714240. Its totient is φ = 155776325760.

The previous prime is 440044442419. The next prime is 440044442441. The reversal of 440044442420 is 24244440044.

It is a super-2 number, since 2×4400444424202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1172369 + ... + 1501511.

It is an arithmetic number, because the mean of its divisors is an integer number (10782757440).

Almost surely, 2440044442420 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 440044442420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517572357120).

440044442420 is an abundant number, since it is smaller than the sum of its proper divisors (595100271820).

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

440044442420 is a wasteful number, since it uses less digits than its factorization.

440044442420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329325 (or 329323 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 440044442420 its reverse (24244440044), we get a palindrome (464288882464).

The spelling of 440044442420 in words is "four hundred forty billion, forty-four million, four hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 103 110 118 206 220 236 295 412 515 590 649 1030 1133 1180 1298 2060 2266 2596 3245 4532 5665 6077 6490 11330 12154 12980 22660 24308 30385 60770 66847 121540 133694 267388 329143 334235 658286 668470 1316572 1336940 1645715 3291430 3620573 6582860 7241146 14482292 18102865 19419437 33901729 36205730 38838874 67803458 72411460 77677748 97097185 135606916 169508645 194194370 213613807 339017290 372919019 388388740 427227614 678034580 745838038 854455228 1068069035 1491676076 1864595095 2000202011 2136138070 3729190190 4000404022 4272276140 7458380380 8000808044 10001010055 20002020110 22002222121 40004040220 44004444242 88008888484 110011110605 220022221210 440044442420