Search a number
-
+
1010154334014 = 23372672365963
BaseRepresentation
bin11101011001100011110…
…00111110011100111110
310120120101101121001002000
432230301320332130332
5113022244002142024
62052020345043130
7132660365111250
oct16546170763476
93516341531060
101010154334014
1135a449872381
121439367864a6
1374345c417c7
1436c6aca1cd0
151b422e5ccc9
hexeb31e3e73e

1010154334014 has 32 divisors (see below), whose sum is σ = 2565471325440. Its totient is φ = 288615523896.

The previous prime is 1010154333983. The next prime is 1010154334031. The reversal of 1010154334014 is 4104334510101.

1010154334014 is a `hidden beast` number, since 1 + 0 + 101 + 543 + 3 + 4 + 0 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1336182604 + ... + 1336183359.

It is an arithmetic number, because the mean of its divisors is an integer number (80170978920).

Almost surely, 21010154334014 is an apocalyptic number.

1010154334014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1010154334014 is an abundant number, since it is smaller than the sum of its proper divisors (1555316991426).

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

1010154334014 is a wasteful number, since it uses less digits than its factorization.

1010154334014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672365981 (or 2672365975 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1010154334014 its reverse (4104334510101), we get a palindrome (5114488844115).

The spelling of 1010154334014 in words is "one trillion, ten billion, one hundred fifty-four million, three hundred thirty-four thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 2672365963 5344731926 8017097889 16034195778 18706561741 24051293667 37413123482 48102587334 56119685223 72153881001 112239370446 144307762002 168359055669 336718111338 505077167007 1010154334014