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1142372401 = 7324632
BaseRepresentation
bin100010000010111…
…0011100000110001
32221121120112022221
41010011303200301
54314421404101
6305205001041
740211001532
oct10405634061
92847515287
101142372401
11536926325
1227a6b3181
13152898301
14aba0c689
156a455aa1
hex44173831

1142372401 has 9 divisors (see below), whose sum is σ = 1160742699. Its totient is φ = 1124289936.

The previous prime is 1142372393. The next prime is 1142372411. The reversal of 1142372401 is 1042732411.

The square root of 1142372401 is 33799.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 648466225 + 493906176 = 25465^2 + 22224^2 .

It is not a de Polignac number, because 1142372401 - 23 = 1142372393 is a prime.

It is a super-3 number, since 3×11423724013 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1142372411) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2467096 + ... + 2467558.

It is an arithmetic number, because the mean of its divisors is an integer number (128971411).

Almost surely, 21142372401 is an apocalyptic number.

1142372401 is the 33799-th square number.

1142372401 is the 16900-th centered octagonal number.

It is an amenable number.

1142372401 is a deficient number, since it is larger than the sum of its proper divisors (18370298).

1142372401 is an frugal number, since it uses more digits than its factorization.

1142372401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The cubic root of 1142372401 is about 1045.3680780250.

Multiplying 1142372401 by its sum of digits (25), we get a square (28559310025 = 1689952).

The spelling of 1142372401 in words is "one billion, one hundred forty-two million, three hundred seventy-two thousand, four hundred one".

Divisors: 1 73 463 5329 33799 214369 2467327 15648937 1142372401