Search a number
-
+
1012141344 = 25317360943
BaseRepresentation
bin111100010101000…
…000110100100000
32121112112002220110
4330111000310200
54033102010334
6244233411320
734040026254
oct7425006440
92545462813
101012141344
1147a366855
12242b69b40
131318cb606
14985cc264
155dccdae9
hex3c540d20

1012141344 has 48 divisors (see below), whose sum is σ = 2672272512. Its totient is φ = 335424768.

The previous prime is 1012141337. The next prime is 1012141367. The reversal of 1012141344 is 4431412101.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1012141344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13864 + ... + 47079.

It is an arithmetic number, because the mean of its divisors is an integer number (55672344).

Almost surely, 21012141344 is an apocalyptic number.

It is an amenable number.

1012141344 is an abundant number, since it is smaller than the sum of its proper divisors (1660131168).

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

1012141344 is a wasteful number, since it uses less digits than its factorization.

1012141344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61129 (or 61121 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1012141344 is about 31814.1689188952. The cubic root of 1012141344 is about 1004.0308451236.

Adding to 1012141344 its reverse (4431412101), we get a palindrome (5443553445).

The spelling of 1012141344 in words is "one billion, twelve million, one hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 173 346 519 692 1038 1384 2076 2768 4152 5536 8304 16608 60943 121886 182829 243772 365658 487544 731316 975088 1462632 1950176 2925264 5850528 10543139 21086278 31629417 42172556 63258834 84345112 126517668 168690224 253035336 337380448 506070672 1012141344