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1421322324440 = 235314726179319
BaseRepresentation
bin10100101011101101011…
…010011000100111011000
312000212200101201002211212
4110223231122120213120
5141241332003340230
63004540234042252
7204454456264154
oct24535532304730
95025611632755
101421322324440
114a8863442227
121ab565b79388
13a4051234bb5
144cb14384064
1526e8a02a895
hex14aed6989d8

1421322324440 has 128 divisors (see below), whose sum is σ = 3373022822400. Its totient is φ = 538219607040.

The previous prime is 1421322324421. The next prime is 1421322324463. The reversal of 1421322324440 is 444232231241.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1421322324397 and 1421322324406.

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, 152514101 + ... + 152523419.

It is an arithmetic number, because the mean of its divisors is an integer number (26351740800).

Almost surely, 21421322324440 is an apocalyptic number.

1421322324440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1421322324440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686511411200).

1421322324440 is an abundant number, since it is smaller than the sum of its proper divisors (1951700497960).

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

1421322324440 is a wasteful number, since it uses less digits than its factorization.

1421322324440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12025 (or 12021 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 1421322324440 its reverse (444232231241), we get a palindrome (1865554555681).

The spelling of 1421322324440 in words is "one trillion, four hundred twenty-one billion, three hundred twenty-two million, three hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 47 62 94 124 155 188 235 248 310 376 470 620 940 1240 1457 1880 2617 2914 5234 5828 7285 9319 10468 11656 13085 14570 18638 20936 26170 29140 37276 46595 52340 58280 74552 81127 93190 104680 122999 162254 186380 245998 288889 324508 372760 405635 437993 491996 577778 614995 649016 811270 875986 983992 1155556 1229990 1444445 1622540 1751972 2189965 2311112 2459980 2888890 3245080 3503944 3812969 4379930 4919960 5777780 7625938 8759860 11555560 13577783 15251876 17519720 19064845 24387823 27155566 30503752 38129690 48775646 54311132 67888915 76259380 97551292 108622264 121939115 135777830 152518760 195102584 243878230 271555660 487756460 543111320 756022513 975512920 1146227681 1512045026 2292455362 3024090052 3780112565 4584910724 5731138405 6048180104 7560225130 9169821448 11462276810 15120450260 22924553620 30240900520 35533058111 45849107240 71066116222 142132232444 177665290555 284264464888 355330581110 710661162220 1421322324440