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440013314020 = 22575971750287
BaseRepresentation
bin1100110011100101101…
…01100101011111100100
31120001202021200022220011
412121302311211133210
524202121402022040
6534050032220004
743534640313130
oct6316265453744
91501667608804
10440013314020
1115a677054465
127133b69a604
13326543a2a07
14174224383c0
15b6a46603ea
hex6672d657e4

440013314020 has 96 divisors (see below), whose sum is σ = 1089058037760. Its totient is φ = 146215735680.

The previous prime is 440013314017. The next prime is 440013314021. The reversal of 440013314020 is 20413310044.

It is a super-2 number, since 2×4400133140202 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 440013313982 and 440013314000.

It is not an unprimeable number, because it can be changed into a prime (440013314021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211317 + ... + 961603.

It is an arithmetic number, because the mean of its divisors is an integer number (11344354560).

Almost surely, 2440013314020 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 440013314020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544529018880).

440013314020 is an abundant number, since it is smaller than the sum of its proper divisors (649044723740).

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

440013314020 is a wasteful number, since it uses less digits than its factorization.

440013314020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750433 (or 750431 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 440013314020 its reverse (20413310044), we get a palindrome (460426624064).

The spelling of 440013314020 in words is "four hundred forty billion, thirteen million, three hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 71 118 140 142 236 284 295 355 413 497 590 710 826 994 1180 1420 1652 1988 2065 2485 4130 4189 4970 8260 8378 9940 16756 20945 29323 41890 58646 83780 117292 146615 293230 586460 750287 1500574 3001148 3751435 5252009 7502870 10504018 15005740 21008036 26260045 44266933 52520090 53270377 88533866 105040180 106540754 177067732 213081508 221334665 266351885 309868531 372892639 442669330 532703770 619737062 745785278 885338660 1065407540 1239474124 1491570556 1549342655 1864463195 3098685310 3142952243 3728926390 6197370620 6285904486 7457852780 12571808972 15714761215 22000665701 31429522430 44001331402 62859044860 88002662804 110003328505 220006657010 440013314020