Search a number
-
+
44420004040240 = 2456075171176899
BaseRepresentation
bin10100001100110010101101…
…00011111100111000110000
312211021111210110022121122201
422012121112203330320300
521310234132013241430
6234250133530312544
712233145052352653
oct1206312643747060
9184244713277581
1044420004040240
11131764662875a4
124b94a89588754
131ba2a3319211a
14ad7d2263589a
155206ed8888ca
hex2866568fce30

44420004040240 has 80 divisors (see below), whose sum is σ = 103467241958400. Its totient is φ = 17735199102720.

The previous prime is 44420004040229. The next prime is 44420004040241. The reversal of 44420004040240 is 4204040002444.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 44420004040199 and 44420004040208.

It is not an unprimeable number, because it can be changed into a prime (44420004040241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251015311 + ... + 251192209.

It is an arithmetic number, because the mean of its divisors is an integer number (1293340524480).

Almost surely, 244420004040240 is an apocalyptic number.

44420004040240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44420004040240 is an abundant number, since it is smaller than the sum of its proper divisors (59047237918160).

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

44420004040240 is a wasteful number, since it uses less digits than its factorization.

44420004040240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182690 (or 182684 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 44420004040240 its reverse (4204040002444), we get a palindrome (48624044042684).

The spelling of 44420004040240 in words is "forty-four trillion, four hundred twenty billion, four million, forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 607 1214 2428 3035 4856 5171 6070 9712 10342 12140 20684 24280 25855 41368 48560 51710 82736 103420 176899 206840 353798 413680 707596 884495 1415192 1768990 2830384 3138797 3537980 6277594 7075960 12555188 14151920 15693985 25110376 31387970 50220752 62775940 107377693 125551880 214755386 251103760 429510772 536888465 859021544 914744729 1073776930 1718043088 1829489458 2147553860 3658978916 4295107720 4573723645 7317957832 8590215440 9147447290 14635915664 18294894580 36589789160 73179578320 555250050503 1110500101006 2221000202012 2776250252515 4442000404024 5552500505030 8884000808048 11105001010060 22210002020120 44420004040240