Search a number
-
+
142312401110424 = 233139149952130071
BaseRepresentation
bin100000010110111010110000…
…000111011000010110011000
3200122212221011220220002201110
4200112322300013120112120
5122123121244141013144
61222401225312020320
741655505652311416
oct4026726007302630
9618787156802643
10142312401110424
1141388394394116
1213b6511b2316a0
13615400407801c
14271dd57cb02b6
15116bd1372b0b9
hex816eb01d8598

142312401110424 has 128 divisors (see below), whose sum is σ = 360795435840000. Its totient is φ = 46773639628800.

The previous prime is 142312401110339. The next prime is 142312401110483. The reversal of 142312401110424 is 424011104213241.

It is a super-4 number, since 4×1423124011104244 (a number of 58 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 142312401110391 and 142312401110400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4732531309 + ... + 4732561379.

It is an arithmetic number, because the mean of its divisors is an integer number (2818714342500).

Almost surely, 2142312401110424 is an apocalyptic number.

It is an amenable number.

142312401110424 is an abundant number, since it is smaller than the sum of its proper divisors (218483034729576).

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

142312401110424 is a wasteful number, since it uses less digits than its factorization.

142312401110424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39889 (or 39885 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 142312401110424 its reverse (424011104213241), we get a palindrome (566323505323665).

The spelling of 142312401110424 in words is "one hundred forty-two trillion, three hundred twelve billion, four hundred one million, one hundred ten thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 139 149 278 298 417 447 556 596 834 894 1112 1192 1668 1788 3336 3576 9521 19042 20711 28563 30071 38084 41422 57126 60142 62133 76168 82844 90213 114252 120284 124266 165688 180426 228504 240568 248532 360852 497064 721704 1323419 1418629 2646838 2837258 3970257 4179869 4255887 4480579 5293676 5674516 7940514 8359738 8511774 8961158 10587352 11349032 12539607 13441737 15881028 16719476 17023548 17922316 25079214 26883474 31762056 33438952 34047096 35844632 50158428 53766948 100316856 107533896 197189431 286305991 394378862 572611982 591568293 622800481 788757724 858917973 1145223964 1183136586 1245600962 1577515448 1717835946 1868401443 2290447928 2366273172 2491201924 3435671892 3736802886 4732546344 4982403848 6871343784 7473605772 14947211544 39796532749 42659592659 79593065498 85319185318 119389598247 127978777977 159186130996 170638370636 238779196494 255957555954 318372261992 341276741272 477558392988 511915111908 955116785976 1023830223816 5929683379601 11859366759202 17789050138803 23718733518404 35578100277606 47437467036808 71156200555212 142312401110424