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1140131040 = 25352375273
BaseRepresentation
bin100001111110101…
…0000010011100000
32221110100122202120
41003331100103200
54313333143130
6305044544240
740152645126
oct10375202340
92843318676
101140131040
11535635364
122799b2080
13152292069
14ab5c7916
156a161910
hex43f504e0

1140131040 has 48 divisors (see below), whose sum is σ = 3591414288. Its totient is φ = 304034816.

The previous prime is 1140131023. The next prime is 1140131059. The reversal of 1140131040 is 401310411.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 1187157 + ... + 1188116.

It is an arithmetic number, because the mean of its divisors is an integer number (74821131).

Almost surely, 21140131040 is an apocalyptic number.

1140131040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140131040 is an abundant number, since it is smaller than the sum of its proper divisors (2451283248).

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

1140131040 is a wasteful number, since it uses less digits than its factorization.

1140131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375291 (or 2375283 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1140131040 is about 33765.8265114302. The cubic root of 1140131040 is about 1044.6839516456.

Adding to 1140131040 its reverse (401310411), we get a palindrome (1541441451).

It can be divided in two parts, 1 and 140131040, that added together give a palindrome (140131041).

The spelling of 1140131040 in words is "one billion, one hundred forty 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 2375273 4750546 7125819 9501092 11876365 14251638 19002184 23752730 28503276 35629095 38004368 47505460 57006552 71258190 76008736 95010920 114013104 142516380 190021840 228026208 285032760 380043680 570065520 1140131040