Search a number
-
+
980329833144 = 2332293287916141
BaseRepresentation
bin11100100010000000011…
…01100010001010111000
310110201101212112102020200
432101000031202022320
5112030203414130034
62030205102322200
7130553326043544
oct16210015421270
93421355472220
10980329833144
113488346a7452
12139bb2589360
13715a2035a5c
143563bc9ca24
151a77994da99
hexe4403622b8

980329833144 has 96 divisors (see below), whose sum is σ = 2665212076800. Its totient is φ = 325528047360.

The previous prime is 980329833103. The next prime is 980329833173. The reversal of 980329833144 is 441338923089.

It is a super-2 number, since 2×9803298331442 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60727314 + ... + 60743454.

It is an arithmetic number, because the mean of its divisors is an integer number (27762625800).

Almost surely, 2980329833144 is an apocalyptic number.

It is an amenable number.

980329833144 is an abundant number, since it is smaller than the sum of its proper divisors (1684882243656).

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

980329833144 is a wasteful number, since it uses less digits than its factorization.

980329833144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19325 (or 19318 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 980329833144 in words is "nine hundred eighty billion, three hundred twenty-nine million, eight hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 293 586 879 1172 1758 2344 2637 2879 3516 5274 5758 7032 8637 10548 11516 16141 17274 21096 23032 25911 32282 34548 48423 51822 64564 69096 96846 103644 129128 145269 193692 207288 290538 387384 581076 843547 1162152 1687094 2530641 3374188 4729313 5061282 6748376 7591923 9458626 10122564 14187939 15183846 18917252 20245128 28375878 30367692 37834504 42563817 46469939 56751756 60735384 85127634 92939878 113503512 139409817 170255268 185879756 278819634 340510536 371759512 418229451 557639268 836458902 1115278536 1672917804 3345835608 13615692127 27231384254 40847076381 54462768508 81694152762 108925537016 122541229143 163388305524 245082458286 326776611048 490164916572 980329833144