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244240001440 = 2553741256757
BaseRepresentation
bin1110001101110111010…
…1101010100110100000
3212100102111122121112021
43203131311222212200
513000200420021230
6304111410511224
723434331521021
oct3433565524640
9770374577467
10244240001440
1194644128066
123b403595514
131a054944816
14bb6d838c48
1565472dcc7a
hex38ddd6a9a0

244240001440 has 48 divisors (see below), whose sum is σ = 592612071912. Its totient is φ = 95055565824.

The previous prime is 244240001437. The next prime is 244240001449. The reversal of 244240001440 is 44100042442.

It can be written as a sum of positive squares in 4 ways, for example, as 242256902416 + 1983099024 = 492196^2 + 44532^2 .

It is a super-2 number, since 2×2442400014402 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (244240001449) 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, 20622459 + ... + 20634298.

Almost surely, 2244240001440 is an apocalyptic number.

244240001440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244240001440 is an abundant number, since it is smaller than the sum of its proper divisors (348372070472).

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

244240001440 is a wasteful number, since it uses less digits than its factorization.

244240001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41256809 (or 41256801 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 244240001440 its reverse (44100042442), we get a palindrome (288340043882).

The spelling of 244240001440 in words is "two hundred forty-four billion, two hundred forty million, one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5920 41256757 82513514 165027028 206283785 330054056 412567570 660108112 825135140 1320216224 1526500009 1650270280 3053000018 3300540560 6106000036 6601081120 7632500045 12212000072 15265000090 24424000144 30530000180 48848000288 61060000360 122120000720 244240001440