Search a number
-
+
1140311131401 = 31379370110721
BaseRepresentation
bin10000100101111111110…
…101110000010100001001
311001000100020120102021110
4100211333311300110021
5122140324122201101
62231503545000533
7145245654455661
oct20457765602411
94030306512243
101140311131401
113aa66a9a6722
12164bbba83149
13836b9455150
143d2971051a1
151e9de944cd6
hex1097fd70509

1140311131401 has 16 divisors (see below), whose sum is σ = 1658096034560. Its totient is φ = 692847267840.

The previous prime is 1140311131259. The next prime is 1140311131423. The reversal of 1140311131401 is 1041311130411.

It is not a de Polignac number, because 1140311131401 - 225 = 1140277576969 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1140311131801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185052280 + ... + 185058441.

It is an arithmetic number, because the mean of its divisors is an integer number (103631002160).

Almost surely, 21140311131401 is an apocalyptic number.

It is an amenable number.

1140311131401 is a deficient number, since it is larger than the sum of its proper divisors (517784903159).

1140311131401 is a wasteful number, since it uses less digits than its factorization.

1140311131401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370110816.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 1140311131401 its reverse (1041311130411), we get a palindrome (2181622261812).

The spelling of 1140311131401 in words is "one trillion, one hundred forty billion, three hundred eleven million, one hundred thirty-one thousand, four hundred one".

Divisors: 1 3 13 39 79 237 1027 3081 370110721 1110332163 4811439373 14434318119 29238746959 87716240877 380103710467 1140311131401