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1472040144 = 243210222501
BaseRepresentation
bin101011110111101…
…1000110011010000
310210120220101110100
41113233120303100
511003320241034
6402022532400
751323064141
oct12757306320
93716811410
101472040144
11695a23603
12350b97100
131a5c82a93
14dd705ac8
1589375099
hex57bd8cd0

1472040144 has 30 divisors (see below), whose sum is σ = 4119668306. Its totient is φ = 490680000.

The previous prime is 1472040131. The next prime is 1472040151. The reversal of 1472040144 is 4410402741.

It can be written as a sum of positive squares in only one way, i.e., 1450695744 + 21344400 = 38088^2 + 4620^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5111107 + ... + 5111394.

Almost surely, 21472040144 is an apocalyptic number.

It is an amenable number.

1472040144 is an abundant number, since it is smaller than the sum of its proper divisors (2647628162).

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

1472040144 is a wasteful number, since it uses less digits than its factorization.

1472040144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10222515 (or 10222506 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 1472040144 is about 38367.1753455998. The cubic root of 1472040144 is about 1137.5571328064.

Adding to 1472040144 its reverse (4410402741), we get a palindrome (5882442885).

The spelling of 1472040144 in words is "one billion, four hundred seventy-two million, forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 10222501 20445002 30667503 40890004 61335006 81780008 92002509 122670012 163560016 184005018 245340024 368010036 490680048 736020072 1472040144