Search a number
-
+
3041401554144 = 253218235792881
BaseRepresentation
bin101100010000100001101…
…010001100010011100000
3101202202101111121010210100
4230100201222030103200
5344312242244213034
610245111154302400
7432506523442422
oct54204152142340
911682344533710
103041401554144
11a7293a985128
1241153b287a00
13190a59086435
14a72c169c812
15541a92cb099
hex2c421a8c4e0

3041401554144 has 72 divisors (see below), whose sum is σ = 8653731532992. Its totient is φ = 1013244226560.

The previous prime is 3041401554137. The next prime is 3041401554193. The reversal of 3041401554144 is 4414551041403.

3041401554144 is a `hidden beast` number, since 30 + 4 + 1 + 40 + 1 + 5 + 541 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3041401554099 and 3041401554108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2371417 + ... + 3421464.

It is an arithmetic number, because the mean of its divisors is an integer number (120190715736).

Almost surely, 23041401554144 is an apocalyptic number.

It is an amenable number.

3041401554144 is an abundant number, since it is smaller than the sum of its proper divisors (5612329978848).

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

3041401554144 is a wasteful number, since it uses less digits than its factorization.

3041401554144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5794720 (or 5794709 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 3041401554144 its reverse (4414551041403), we get a palindrome (7455952595547).

The spelling of 3041401554144 in words is "three trillion, forty-one billion, four hundred one million, five hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1823 3646 5469 7292 10938 14584 16407 21876 29168 32814 43752 58336 65628 87504 131256 175008 262512 525024 5792881 11585762 17378643 23171524 34757286 46343048 52135929 69514572 92686096 104271858 139029144 185372192 208543716 278058288 417087432 556116576 834174864 1668349728 10560422063 21120844126 31681266189 42241688252 63362532378 84483376504 95043798567 126725064756 168966753008 190087597134 253450129512 337933506016 380175194268 506900259024 760350388536 1013800518048 1520700777072 3041401554144