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5542001440 = 2553110131103
BaseRepresentation
bin1010010100101010…
…00011101100100000
3112022020020211202121
411022111003230200
542322223021230
62313532154024
7254223143413
oct51225035440
915266224677
105542001440
112394351788
1210a8008914
136a422b4c1
143a806bb7a
1522681977a
hex14a543b20

5542001440 has 96 divisors (see below), whose sum is σ = 13540939776. Its totient is φ = 2141230080.

The previous prime is 5542001429. The next prime is 5542001459. The reversal of 5542001440 is 441002455.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5023929 + ... + 5025031.

It is an arithmetic number, because the mean of its divisors is an integer number (141051456).

Almost surely, 25542001440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5542001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6770469888).

5542001440 is an abundant number, since it is smaller than the sum of its proper divisors (7998938336).

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

5542001440 is a wasteful number, since it uses less digits than its factorization.

5542001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 5542001440 is about 74444.6199533586. The cubic root of 5542001440 is about 1769.6561026580.

Adding to 5542001440 its reverse (441002455), we get a palindrome (5983003895).

The spelling of 5542001440 in words is "five billion, five hundred forty-two million, one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1013 1103 1240 2026 2206 2480 4052 4412 4960 5065 5515 8104 8824 10130 11030 16208 17648 20260 22060 31403 32416 34193 35296 40520 44120 62806 68386 81040 88240 125612 136772 157015 162080 170965 176480 251224 273544 314030 341930 502448 547088 628060 683860 1004896 1094176 1117339 1256120 1367720 2234678 2512240 2735440 4469356 5024480 5470880 5586695 8938712 11173390 17877424 22346780 34637509 35754848 44693560 69275018 89387120 138550036 173187545 178774240 277100072 346375090 554200144 692750180 1108400288 1385500360 2771000720 5542001440