Search a number
-
+
242514301312 = 27173719315607
BaseRepresentation
bin1110000111011011111…
…0101001000110000000
3212011222020102221222201
43201312332221012000
512433132130120222
6303224243042544
723343505356223
oct3416676510600
9764866387881
10242514301312
1193939001008
123b001670454
1319b3b26a49a
14ba485835ba
156495a5e427
hex3876fa9180

242514301312 has 128 divisors (see below), whose sum is σ = 528135387840. Its totient is φ = 110457520128.

The previous prime is 242514301283. The next prime is 242514301427. The reversal of 242514301312 is 213103415242.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15531013 + ... + 15546619.

Almost surely, 2242514301312 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 242514301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264067693920).

242514301312 is an abundant number, since it is smaller than the sum of its proper divisors (285621086528).

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

242514301312 is a wasteful number, since it uses less digits than its factorization.

242514301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15868 (or 15856 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 242514301312 its reverse (213103415242), we get a palindrome (455617716554).

The spelling of 242514301312 in words is "two hundred forty-two billion, five hundred fourteen million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 128 136 148 193 272 296 386 544 592 629 772 1088 1184 1258 1544 2176 2368 2516 3088 3281 4736 5032 6176 6562 7141 10064 12352 13124 14282 15607 20128 24704 26248 28564 31214 40256 52496 57128 62428 80512 104992 114256 121397 124856 209984 228512 242794 249712 265319 419968 457024 485588 499424 530638 577459 914048 971176 998848 1061276 1154918 1942352 1997696 2122552 2309836 3012151 3884704 4245104 4619672 6024302 7769408 8490208 9239344 9816803 12048604 15538816 16980416 18478688 19633606 24097208 33960832 36957376 39267212 48194416 51206567 73914752 78534424 96388832 102413134 111449587 157068848 192777664 204826268 222899174 314137696 385555328 409652536 445798348 628275392 819305072 891596696 1256550784 1638610144 1783193392 1894642979 3277220288 3566386784 3789285958 6554440576 7132773568 7578571916 14265547136 15157143832 30314287664 60628575328 121257150656 242514301312