Search a number
-
+
154414331442 = 23274996533761
BaseRepresentation
bin1000111111001111001…
…1111011011000110010
3112202120101210210012200
42033303303323120302
510012220032101232
6154534215004030
714104350106140
oct2176363733062
9482511723180
10154414331442
115a539956758
1225b15069616
131173ac8c6b7
14768bb5a590
15403b3e977c
hex23f3cfb632

154414331442 has 96 divisors (see below), whose sum is σ = 383814288000. Its totient is φ = 43950850560.

The previous prime is 154414331441. The next prime is 154414331459. The reversal of 154414331442 is 244133414451.

It is a happy number.

154414331442 is a `hidden beast` number, since 1 + 5 + 44 + 143 + 31 + 442 = 666.

154414331442 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 154414331397 and 154414331406.

It is not an unprimeable number, because it can be changed into a prime (154414331441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41054842 + ... + 41058602.

It is an arithmetic number, because the mean of its divisors is an integer number (3998065500).

Almost surely, 2154414331442 is an apocalyptic number.

154414331442 is an abundant number, since it is smaller than the sum of its proper divisors (229399956558).

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

154414331442 is a wasteful number, since it uses less digits than its factorization.

154414331442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4928 (or 4925 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 154414331442 its reverse (244133414451), we get a palindrome (398547745893).

The spelling of 154414331442 in words is "one hundred fifty-four billion, four hundred fourteen million, three hundred thirty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 499 653 998 1306 1497 1959 2994 3493 3761 3918 4491 4571 5877 6986 7522 8982 9142 10479 11283 11754 13713 20958 22566 26327 27426 31437 33849 41139 52654 62874 67698 78981 82278 157962 236943 325847 473886 651694 977541 1876739 1955082 2280929 2455933 2932623 3753478 4561858 4911866 5630217 5865246 6842787 7367799 11260434 13137173 13685574 14735598 16890651 17191531 20528361 22103397 26274346 33781302 34383062 39411519 41056722 44206794 51574593 78823038 103149186 118234557 154723779 236469114 309447558 1225510567 2451021134 3676531701 7353063402 8578573969 11029595103 17157147938 22059190206 25735721907 51471443814 77207165721 154414331442