Search a number
-
+
44142202141120 = 265674272045833
BaseRepresentation
bin10100000100101101010000…
…10001110011100111000000
312210021221201222000221201001
422002112220101303213000
521241211212222003440
6233514351523421344
712204111630233506
oct1202265021634700
9183257658027631
1044142202141120
111307966a362016
124b4b07a224854
131b82790256265
14ac86cb6c0676
1551838edd9b9a
hex2825a84739c0

44142202141120 has 56 divisors (see below), whose sum is σ = 105115229153424. Its totient is φ = 17656610359296.

The previous prime is 44142202141117. The next prime is 44142202141123. The reversal of 44142202141120 is 2114120224144.

It is an interprime number because it is at equal distance from previous prime (44142202141117) and next prime (44142202141123).

It is a super-2 number, since 2×441422021411202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44142202141123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20553724 + ... + 22599556.

It is an arithmetic number, because the mean of its divisors is an integer number (1877057663454).

Almost surely, 244142202141120 is an apocalyptic number.

44142202141120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44142202141120 is an abundant number, since it is smaller than the sum of its proper divisors (60973027012304).

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

44142202141120 is a wasteful number, since it uses less digits than its factorization.

44142202141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2113277 (or 2113267 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 44142202141120 its reverse (2114120224144), we get a palindrome (46256322365264).

The spelling of 44142202141120 in words is "forty-four trillion, one hundred forty-two billion, two hundred two million, one hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 67427 134854 269708 337135 539416 674270 1078832 1348540 2045833 2157664 2697080 4091666 4315328 5394160 8183332 10229165 10788320 16366664 20458330 21576640 32733328 40916660 65466656 81833320 130933312 163666640 327333280 654666560 137944381691 275888763382 551777526764 689721908455 1103555053528 1379443816910 2207110107056 2758887633820 4414220214112 5517775267640 8828440428224 11035550535280 22071101070560 44142202141120