Search a number
-
+
1401001041 = 311237104311
BaseRepresentation
bin101001110000001…
…1001010001010001
310121122020020010110
41103200121101101
510332124013131
6351004151533
746501212066
oct12340312121
93548206113
101401001041
11659912900
123312385a9
1319433c2cb
14d40d2c6d
1582ee1646
hex53819451

1401001041 has 24 divisors (see below), whose sum is σ = 2108771392. Its totient is φ = 826135200.

The previous prime is 1401001033. The next prime is 1401001057.

1401001041 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1401001041 - 23 = 1401001033 is a prime.

It is a super-3 number, since 3×14010010413 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1401001141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38725 + ... + 65586.

Almost surely, 21401001041 is an apocalyptic number.

1401001041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1401001041 is a deficient number, since it is larger than the sum of its proper divisors (707770351).

1401001041 is a wasteful number, since it uses less digits than its factorization.

1401001041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104373 (or 104362 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1401001041 is about 37429.9484504053. The cubic root of 1401001041 is about 1118.9555103418.

It can be divided in two parts, 140100 and 1041, that added together give a palindrome (141141).

The spelling of 1401001041 in words is "one billion, four hundred one million, one thousand, forty-one".

Divisors: 1 3 11 33 37 111 121 363 407 1221 4477 13431 104311 312933 1147421 3442263 3859507 11578521 12621631 37864893 42454577 127363731 467000347 1401001041