Search a number
-
+
1481922998304 = 253721372299523
BaseRepresentation
bin10101100100001001011…
…111100111000000100000
312020200002202120022020020
4111210021133213000200
5143234434241421204
63052441440513440
7212031301435500
oct25441137470040
95220082508206
101481922998304
11521530998471
121bb25901b880
13a998b2655b8
1451a22917a00
1528835380bd9
hex159097e7020

1481922998304 has 144 divisors (see below), whose sum is σ = 4558190057568. Its totient is φ = 420315829248.

The previous prime is 1481922998221. The next prime is 1481922998323. The reversal of 1481922998304 is 4038992291841.

It is a super-3 number, since 3×14819229983043 (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 505314 + ... + 1794209.

It is an arithmetic number, because the mean of its divisors is an integer number (31654097622).

Almost surely, 21481922998304 is an apocalyptic number.

1481922998304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1481922998304 is an abundant number, since it is smaller than the sum of its proper divisors (3076267059264).

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

1481922998304 is a wasteful number, since it uses less digits than its factorization.

1481922998304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299687 (or 2299672 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 60.

The spelling of 1481922998304 in words is "one trillion, four hundred eighty-one billion, nine hundred twenty-two million, nine hundred ninety-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 137 147 168 196 224 274 294 336 392 411 548 588 672 784 822 959 1096 1176 1568 1644 1918 2192 2352 2877 3288 3836 4384 4704 5754 6576 6713 7672 11508 13152 13426 15344 20139 23016 26852 30688 40278 46032 53704 80556 92064 107408 161112 214816 322224 644448 2299523 4599046 6898569 9198092 13797138 16096661 18396184 27594276 32193322 36792368 48289983 55188552 64386644 73584736 96579966 110377104 112676627 128773288 193159932 220754208 225353254 257546576 315034651 338029881 386319864 450706508 515093152 630069302 676059762 772639728 901413016 945103953 1260138604 1352119524 1545279456 1802826032 1890207906 2205242557 2520277208 2704239048 3605652064 3780415812 4410485114 5040554416 5408478096 6615727671 7560831624 8820970228 10081108832 10816956192 13231455342 15121663248 15436697899 17641940456 26462910684 30243326496 30873395798 35283880912 46310093697 52925821368 61746791596 70567761824 92620187394 105851642736 123493583192 185240374788 211703285472 246987166384 370480749576 493974332768 740961499152 1481922998304