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1434131040 = 25352987773
BaseRepresentation
bin101010101111011…
…0001101001100000
310200221120101221110
41111132301221200
510414114143130
6354150223320
750352625026
oct12536615140
93627511843
101434131040
11676590971
12340354b40
1319b16bb64
14d8678716
1585d87ab0
hex557b1a60

1434131040 has 48 divisors (see below), whose sum is σ = 4517514288. Its totient is φ = 382434816.

The previous prime is 1434131011. The next prime is 1434131057. The reversal of 1434131040 is 401314341.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1434130998 and 1434131016.

It is a congruent number.

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, 1493407 + ... + 1494366.

It is an arithmetic number, because the mean of its divisors is an integer number (94114881).

Almost surely, 21434131040 is an apocalyptic number.

1434131040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1434131040 is an abundant number, since it is smaller than the sum of its proper divisors (3083383248).

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

1434131040 is a wasteful number, since it uses less digits than its factorization.

1434131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987791 (or 2987783 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1434131040 is about 37869.9226299711. The cubic root of 1434131040 is about 1127.7070060412.

Adding to 1434131040 its reverse (401314341), we get a palindrome (1835445381).

It can be divided in two parts, 143413 and 1040, that added together give a triangular number (144453 = T537).

The spelling of 1434131040 in words is "one billion, four hundred thirty-four million, one hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2987773 5975546 8963319 11951092 14938865 17926638 23902184 29877730 35853276 44816595 47804368 59755460 71706552 89633190 95608736 119510920 143413104 179266380 239021840 286826208 358532760 478043680 717065520 1434131040