Search a number
-
+
114225153152 = 2711174772107
BaseRepresentation
bin110101001100001011…
…0011000010010000000
3101220211112202222212212
41222120112120102000
53332413114400102
6124250241241252
711152414532135
oct1523026302200
9356745688785
10114225153152
1144496137220
121a179933228
13aa04971726
1457583c658c
152e87ee4c52
hex1a98598480

114225153152 has 64 divisors (see below), whose sum is σ = 262847708640. Its totient is φ = 48866365440.

The previous prime is 114225153149. The next prime is 114225153181. The reversal of 114225153152 is 251351522411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1142251531522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2362118 + ... + 2409989.

Almost surely, 2114225153152 is an apocalyptic number.

It is an amenable number.

114225153152 is an abundant number, since it is smaller than the sum of its proper divisors (148622555488).

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

114225153152 is a wasteful number, since it uses less digits than its factorization.

114225153152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4772149 (or 4772137 counting only the distinct ones).

The product of its digits is 12000, while the sum is 32.

Adding to 114225153152 its reverse (251351522411), we get a palindrome (365576675563).

The spelling of 114225153152 in words is "one hundred fourteen billion, two hundred twenty-five million, one hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 272 352 374 544 704 748 1088 1408 1496 2176 2992 5984 11968 23936 4772107 9544214 19088428 38176856 52493177 76353712 81125819 104986354 152707424 162251638 209972708 305414848 324503276 419945416 610829696 649006552 839890832 892384009 1298013104 1679781664 1784768018 2596026208 3359563328 3569536036 5192052416 6719126656 7139072072 10384104832 14278144144 28556288288 57112576576 114225153152