Search a number
-
+
440434403220020 = 225112374918856413
BaseRepresentation
bin110010000100100101010000…
…0001001101001101000110100
32010202110010011211111011011012
41210021022200021221220310
5430212034124211020040
64200420434355531352
7161525223044315156
oct14411124011515064
92122403154434135
10440434403220020
111183771aa575500
124149317a5b9b58
1315b9aa2ab38471
147aa91d3046ad6
1535dba99be0865
hex19092a0269a34

440434403220020 has 72 divisors (see below), whose sum is σ = 1044115813286952. Its totient is φ = 155829371132160.

The previous prime is 440434403219989. The next prime is 440434403220037. The reversal of 440434403220020 is 20022304434044.

It can be written as a sum of positive squares in 4 ways, for example, as 55948425297424 + 384485977922596 = 7479868^2 + 19608314^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2459338667 + ... + 2459517746.

Almost surely, 2440434403220020 is an apocalyptic number.

It is an amenable number.

440434403220020 is an abundant number, since it is smaller than the sum of its proper divisors (603681410066932).

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

440434403220020 is a wasteful number, since it uses less digits than its factorization.

440434403220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4918856481 (or 4918856468 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 440434403220020 its reverse (20022304434044), we get a palindrome (460456707654064).

The spelling of 440434403220020 in words is "four hundred forty trillion, four hundred thirty-four billion, four hundred three million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 121 148 185 220 242 370 407 484 605 740 814 1210 1628 2035 2420 4070 4477 8140 8954 17908 22385 44770 89540 4918856413 9837712826 19675425652 24594282065 49188564130 54107420543 98377128260 108214841086 181997687281 216429682172 270537102715 363995374562 541074205430 595181625973 727990749124 909988436405 1082148410860 1190363251946 1819976872810 2001974560091 2380726503892 2975908129865 3639953745620 4003949120182 5951816259730 8007898240364 10009872800455 11903632519460 20019745600910 22021720161001 40039491201820 44043440322002 88086880644004 110108600805005 220217201610010 440434403220020