Search a number
-
+
2042024202402 = 2323179614313457
BaseRepresentation
bin11101101101110010001…
…000001001000010100010
321020012211011210112010220
4131231302020021002202
5231424031143434102
64202032025303510
7300350156221422
oct35556210110242
97205734715126
102042024202402
11718021477078
1228b911934b96
1311a73cab6122
1470b97c16482
15381b75581bc
hex1db722090a2

2042024202402 has 64 divisors (see below), whose sum is σ = 4286439751680. Its totient is φ = 647289361664.

The previous prime is 2042024202373. The next prime is 2042024202403.

2042024202402 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2042024202403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151737658 + ... + 151751114.

It is an arithmetic number, because the mean of its divisors is an integer number (66975621120).

Almost surely, 22042024202402 is an apocalyptic number.

2042024202402 is an abundant number, since it is smaller than the sum of its proper divisors (2244415549278).

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

2042024202402 is a wasteful number, since it uses less digits than its factorization.

2042024202402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19807.

The product of its (nonzero) digits is 4096, while the sum is 24.

The spelling of 2042024202402 in words is "two trillion, forty-two billion, twenty-four million, two hundred two thousand, four hundred two".

Divisors: 1 2 3 6 23 46 69 138 179 358 537 1074 4117 6143 8234 12286 12351 13457 18429 24702 26914 36858 40371 80742 141289 282578 309511 423867 619022 847734 928533 1099597 1857066 2199194 2408803 3298791 4817606 6597582 7226409 14452818 25290731 50581462 55402469 75872193 82666351 110804938 151744386 165332702 166207407 247999053 332414814 495998106 1901326073 3802652146 5703978219 11407956438 14797276829 29594553658 44391830487 88783660974 340337367067 680674734134 1021012101201 2042024202402