Search a number
-
+
442553101440 = 2735230496407
BaseRepresentation
bin1100111000010100011…
…10000110110010000000
31120022022021201220020220
412130022032012302000
524222322043221230
6535150040503040
743654610203152
oct6341216066200
91508267656226
10442553101440
1116075a76332a
127192a17aa80
133296a622cc8
14175c3884ad2
15b7a25e9d10
hex670a386c80

442553101440 has 64 divisors (see below), whose sum is σ = 1410638016960. Its totient is φ = 118014159872.

The previous prime is 442553101423. The next prime is 442553101451. The reversal of 442553101440 is 44101355244.

It is a happy number.

442553101440 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115246284 + ... + 115250123.

It is an arithmetic number, because the mean of its divisors is an integer number (22041219015).

Almost surely, 2442553101440 is an apocalyptic number.

442553101440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442553101440 is an abundant number, since it is smaller than the sum of its proper divisors (968084915520).

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

442553101440 is a wasteful number, since it uses less digits than its factorization.

442553101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230496429 (or 230496417 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 442553101440 its reverse (44101355244), we get a palindrome (486654456684).

The spelling of 442553101440 in words is "four hundred forty-two billion, five hundred fifty-three million, one hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 230496407 460992814 691489221 921985628 1152482035 1382978442 1843971256 2304964070 2765956884 3457446105 3687942512 4609928140 5531913768 6914892210 7375885024 9219856280 11063827536 13829784420 14751770048 18439712560 22127655072 27659568840 29503540096 36879425120 44255310144 55319137680 73758850240 88510620288 110638275360 147517700480 221276550720 442553101440