Search a number
-
+
1455422211232 = 251161367184693
BaseRepresentation
bin10101001011011101111…
…011001000010010100000
312011010200212122211120221
4111023131323020102200
5142321201041224412
63032340045012424
7210102501450553
oct25133573102240
95133625584527
101455422211232
11511271993950
121b60a1b54114
13a7326b227c2
145062b10469a
1527cd3a5ab07
hex152ddec84a0

1455422211232 has 96 divisors (see below), whose sum is σ = 3185767597824. Its totient is φ = 648933811200.

The previous prime is 1455422211227. The next prime is 1455422211281. The reversal of 1455422211232 is 2321122245541.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7787878 + ... + 7972570.

It is an arithmetic number, because the mean of its divisors is an integer number (33185079144).

Almost surely, 21455422211232 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 1455422211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592883798912).

1455422211232 is an abundant number, since it is smaller than the sum of its proper divisors (1730345386592).

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

1455422211232 is a wasteful number, since it uses less digits than its factorization.

1455422211232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185142 (or 185134 counting only the distinct ones).

The product of its digits is 38400, while the sum is 34.

Adding to 1455422211232 its reverse (2321122245541), we get a palindrome (3776544456773).

The spelling of 1455422211232 in words is "one trillion, four hundred fifty-five billion, four hundred twenty-two million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 61 88 122 176 244 352 367 488 671 734 976 1342 1468 1952 2684 2936 4037 5368 5872 8074 10736 11744 16148 21472 22387 32296 44774 64592 89548 129184 179096 184693 246257 358192 369386 492514 716384 738772 985028 1477544 1970056 2031623 2955088 3940112 4063246 5910176 7880224 8126492 11266273 16252984 22532546 32505968 45065092 65011936 67782331 90130184 123929003 135564662 180260368 247858006 271129324 360520736 495716012 542258648 745605641 991432024 1084517296 1491211282 1982864048 2169034592 2982422564 3965728096 4134722191 5964845128 8269444382 11929690256 16538888764 23859380512 33077777528 45481944101 66155555056 90963888202 132311110112 181927776404 363855552808 727711105616 1455422211232