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121468983424 = 2731831911931
BaseRepresentation
bin111000100100000011…
…1011001100010000000
3102121112101022200220221
41301020013121202000
53442232024432144
6131445125512424
711530054215625
oct1611007314200
9377471280827
10121468983424
1147573090108
121b65b872714
13b5ba639a29
145c4449434c
15325de24d84
hex1c481d9880

121468983424 has 128 divisors (see below), whose sum is σ = 254259855360. Its totient is φ = 57733248000.

The previous prime is 121468983413. The next prime is 121468983431. The reversal of 121468983424 is 424389864121.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62903739 + ... + 62905669.

It is an arithmetic number, because the mean of its divisors is an integer number (1986405120).

Almost surely, 2121468983424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121468983424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127129927680).

121468983424 is an abundant number, since it is smaller than the sum of its proper divisors (132790871936).

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

121468983424 is a wasteful number, since it uses less digits than its factorization.

121468983424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2238 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 52.

The spelling of 121468983424 in words is "one hundred twenty-one billion, four hundred sixty-eight million, nine hundred eighty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 62 64 83 124 128 166 191 248 332 382 496 664 764 992 1328 1528 1931 1984 2573 2656 3056 3862 3968 5146 5312 5921 6112 7724 10292 10624 11842 12224 15448 15853 20584 23684 24448 30896 31706 41168 47368 59861 61792 63412 82336 94736 119722 123584 126824 160273 164672 189472 239444 247168 253648 320546 329344 368821 378944 478888 491443 507296 641092 737642 757888 957776 982886 1014592 1282184 1475284 1915552 1965772 2029184 2564368 2950568 3831104 3931544 4968463 5128736 5901136 7662208 7863088 9936926 10257472 11433451 11802272 15726176 19873852 20514944 22866902 23604544 30612143 31452352 39747704 45733804 47209088 61224286 62904704 79495408 91467608 122448572 158990816 182935216 244897144 317981632 365870432 489794288 635963264 731740864 948976433 979588576 1463481728 1897952866 1959177152 3795905732 3918354304 7591811464 15183622928 30367245856 60734491712 121468983424