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1144400423142 = 2319313753165133
BaseRepresentation
bin10000101001110011100…
…101001010100011100110
311001101220020021221222010
4100221303211022203212
5122222213002020032
62233421424415050
7145452211045224
oct20516345124346
94041806257863
101144400423142
11401379228079
12165961477486
1383bbb70b2c2
143d56425db14
151eb7d956ccc
hex10a7394a8e6

1144400423142 has 128 divisors (see below), whose sum is σ = 2602406154240. Its totient is φ = 333857272320.

The previous prime is 1144400423141. The next prime is 1144400423171. The reversal of 1144400423142 is 2413240044411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144400423141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6847608 + ... + 7012740.

It is an arithmetic number, because the mean of its divisors is an integer number (20331298080).

Almost surely, 21144400423142 is an apocalyptic number.

1144400423142 is an abundant number, since it is smaller than the sum of its proper divisors (1458005731098).

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

1144400423142 is a wasteful number, since it uses less digits than its factorization.

1144400423142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165278.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 1144400423142 its reverse (2413240044411), we get a palindrome (3557640467553).

The spelling of 1144400423142 in words is "one trillion, one hundred forty-four billion, four hundred million, four hundred twenty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 19 31 37 38 53 57 62 74 93 106 111 114 159 186 222 318 589 703 1007 1147 1178 1406 1643 1767 1961 2014 2109 2294 3021 3286 3441 3534 3922 4218 4929 5883 6042 6882 9858 11766 21793 31217 37259 43586 60791 62434 65379 74518 93651 111777 121582 130758 165133 182373 187302 223554 330266 364746 495399 990798 1155029 2310058 3137527 3465087 5119123 6109921 6275054 6930174 8752049 9412581 10238246 12219842 15357369 17504098 18329763 18825162 26256147 30714738 36659526 52512294 97263337 116088499 166288931 189407551 194526674 232176998 271313519 291790011 323825813 332577862 348265497 378815102 498866793 542627038 568222653 583580022 647651626 696530994 813940557 971477439 997733586 1136445306 1627881114 1942954878 3598743469 5154956861 6152690447 7197486938 10038600203 10309913722 10796230407 12305380894 15464870583 18458071341 20077200406 21592460814 30115800609 30929741166 36916142682 60231601218 190733403857 381466807714 572200211571 1144400423142