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3144414540 = 2235102151329
BaseRepresentation
bin1011101101101011…
…1111010101001100
322010010202210211210
42323122333111030
522414432231130
61240003414420
7140631040221
oct27332772514
98103683753
103144414540
111373a38203
12739084410
133b15a9027
1421b879948
151360bd5b0
hexbb6bf54c

3144414540 has 48 divisors (see below), whose sum is σ = 8813155680. Its totient is φ = 837672960.

The previous prime is 3144414521. The next prime is 3144414569. The reversal of 3144414540 is 454144413.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3144414498 and 3144414507.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35596 + ... + 86924.

It is an arithmetic number, because the mean of its divisors is an integer number (183607410).

Almost surely, 23144414540 is an apocalyptic number.

3144414540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3144414540 is an abundant number, since it is smaller than the sum of its proper divisors (5668741140).

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

3144414540 is a wasteful number, since it uses less digits than its factorization.

3144414540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52362 (or 52360 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 3144414540 is about 56075.0794916958. The cubic root of 3144414540 is about 1465.0302719073.

Adding to 3144414540 its reverse (454144413), we get a palindrome (3598558953).

The spelling of 3144414540 in words is "three billion, one hundred forty-four million, four hundred fourteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1021 2042 3063 4084 5105 6126 10210 12252 15315 20420 30630 51329 61260 102658 153987 205316 256645 307974 513290 615948 769935 1026580 1539870 3079740 52406909 104813818 157220727 209627636 262034545 314441454 524069090 628882908 786103635 1048138180 1572207270 3144414540