Search a number
-
+
1144496685348 = 2234127137203023
BaseRepresentation
bin10000101001111001010…
…100011000000100100100
311001102010221102120220000
4100221321110120010210
5122222412122412343
62233435143541300
7145454460212112
oct20517124300444
94042127376800
101144496685348
114014185a6315
1216598975a830
1383c056436a3
143d572d5aab2
151eb8711ded3
hex10a79518124

1144496685348 has 120 divisors (see below), whose sum is σ = 3037524897792. Its totient is φ = 375730379136.

The previous prime is 1144496685337. The next prime is 1144496685401. The reversal of 1144496685348 is 8435866944411.

1144496685348 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 4 + 96 + 6 + 8 + 534 + 8 = 666.

It is a super-2 number, since 2×11444966853482 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5535765 + ... + 5738787.

Almost surely, 21144496685348 is an apocalyptic number.

1144496685348 is a gapful number since it is divisible by the number (18) 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 1144496685348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518762448896).

1144496685348 is an abundant number, since it is smaller than the sum of its proper divisors (1893028212444).

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

1144496685348 is a wasteful number, since it uses less digits than its factorization.

1144496685348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203303 (or 203292 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 63.

The spelling of 1144496685348 in words is "one trillion, one hundred forty-four billion, four hundred ninety-six million, six hundred eighty-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 127 137 162 254 274 324 381 411 508 548 762 822 1143 1233 1524 1644 2286 2466 3429 3699 4572 4932 6858 7398 10287 11097 13716 14796 17399 20574 22194 34798 41148 44388 52197 69596 104394 156591 203023 208788 313182 406046 469773 609069 626364 812092 939546 1218138 1409319 1827207 1879092 2436276 2818638 3654414 5481621 5637276 7308828 10963242 16444863 21926484 25783921 27814151 32889726 51567842 55628302 65779452 77351763 83442453 103135684 111256604 154703526 166884906 232055289 250327359 309407052 333769812 464110578 500654718 696165867 750982077 928221156 1001309436 1392331734 1501964154 2088497601 2252946231 2784663468 3003928308 3532397177 4176995202 4505892462 7064794354 8353990404 9011784924 10597191531 14129588708 21194383062 31791574593 42388766124 63583149186 95374723779 127166298372 190749447558 286124171337 381498895116 572248342674 1144496685348