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1424012141310 = 23511371039112249
BaseRepresentation
bin10100101110001101101…
…111001110001011111110
312001010121212001221220220
4110232031233032023332
5141312334102010220
63010103202122210
7204611230325643
oct24561557161376
95033555057826
101424012141310
114a9a13803480
121abb96950366
13a438c594605
144cccb6c5dca
152709624d540
hex14b8dbce2fe

1424012141310 has 128 divisors (see below), whose sum is σ = 3832807680000. Its totient is φ = 335558661120.

The previous prime is 1424012141263. The next prime is 1424012141317. The reversal of 1424012141310 is 131412104241.

It is a happy number.

It is a super-2 number, since 2×14240121413102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1424012141317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12630066 + ... + 12742314.

It is an arithmetic number, because the mean of its divisors is an integer number (29943810000).

Almost surely, 21424012141310 is an apocalyptic number.

1424012141310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1424012141310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916403840000).

1424012141310 is an abundant number, since it is smaller than the sum of its proper divisors (2408795538690).

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

1424012141310 is a wasteful number, since it uses less digits than its factorization.

1424012141310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113346.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1424012141310 its reverse (131412104241), we get a palindrome (1555424245551).

The spelling of 1424012141310 in words is "one trillion, four hundred twenty-four billion, twelve million, one hundred forty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1039 1110 1221 2035 2078 2442 3117 4070 5195 6105 6234 10390 11429 12210 15585 22858 31170 34287 38443 57145 68574 76886 112249 114290 115329 171435 192215 224498 230658 336747 342870 384430 422873 561245 576645 673494 845746 1122490 1153290 1234739 1268619 1683735 2114365 2469478 2537238 3367470 3704217 4153213 4228730 6173695 6343095 7408434 8306426 12347390 12459639 12686190 18521085 20766065 24919278 37042170 41532130 45685343 62298195 91370686 116626711 124596390 137056029 228426715 233253422 274112058 349880133 456853430 583133555 685280145 699760266 1166267110 1282893821 1370560290 1749400665 2565787642 3498801330 3848681463 4315188307 6414469105 7697362926 8630376614 12828938210 12945564921 19243407315 21575941535 25891129842 38486814630 43151883070 47467071377 64727824605 94934142754 129455649210 142401214131 237335356885 284802428262 474670713770 712006070655 1424012141310