Search a number
-
+
153002153214 = 232194772713093
BaseRepresentation
bin1000111001111110100…
…0111001010011111110
3112121220222112200212100
42032133220321103332
510001322022400324
6154142131045530
714024351562351
oct2163750712376
9477828480770
10153002153214
11599847aa309
12257a01408a6
1311574538a91
147596398298
153ea744b4c9
hex239fa394fe

153002153214 has 96 divisors (see below), whose sum is σ = 356894254080. Its totient is φ = 47219806656.

The previous prime is 153002153189. The next prime is 153002153257. The reversal of 153002153214 is 412351200351.

153002153214 is a `hidden beast` number, since 15 + 300 + 21 + 5 + 321 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11679252 + ... + 11692344.

It is an arithmetic number, because the mean of its divisors is an integer number (3717648480).

Almost surely, 2153002153214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153002153214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178447127040).

153002153214 is an abundant number, since it is smaller than the sum of its proper divisors (203892100866).

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

153002153214 is a wasteful number, since it uses less digits than its factorization.

153002153214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13894 (or 13891 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 153002153214 its reverse (412351200351), we get a palindrome (565353353565).

The spelling of 153002153214 in words is "one hundred fifty-three billion, two million, one hundred fifty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 47 57 94 114 141 171 282 342 423 727 846 893 1454 1786 2181 2679 4362 5358 6543 8037 13086 13093 13813 16074 26186 27626 34169 39279 41439 68338 78558 82878 102507 117837 124317 205014 235674 248634 248767 307521 497534 615042 615371 649211 746301 1230742 1298422 1492602 1846113 1947633 2238903 3692226 3895266 4477806 5538339 5842899 9518611 11076678 11685798 11692049 19037222 23384098 28555833 35076147 57111666 70152294 85667499 105228441 171334998 180853609 210456882 361707218 447374717 542560827 894749434 1085121654 1342124151 1627682481 2684248302 3255364962 4026372453 8052744906 8500119623 17000239246 25500358869 51000717738 76501076607 153002153214