Search a number
-
+
11254104144 = 2433157165931
BaseRepresentation
bin10100111101100110…
…00000000001010000
31002001022120201121000
422132303000001100
5141022022313034
65100422302000
7545613210153
oct123663000120
932038521530
1011254104144
114855715018
122220b87900
1310a477612a
1478a937c9a
1545d034599
hex29ecc0050

11254104144 has 80 divisors (see below), whose sum is σ = 32509397440. Its totient is φ = 3727451520.

The previous prime is 11254104143. The next prime is 11254104157. The reversal of 11254104144 is 44140145211.

It is a happy number.

11254104144 is a `hidden beast` number, since 112 + 541 + 0 + 4 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11254104143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15142 + ... + 150789.

It is an arithmetic number, because the mean of its divisors is an integer number (406367468).

Almost surely, 211254104144 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 11254104144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16254698720).

11254104144 is an abundant number, since it is smaller than the sum of its proper divisors (21255293296).

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

11254104144 is a wasteful number, since it uses less digits than its factorization.

11254104144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166105 (or 166093 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 11254104144 its reverse (44140145211), we get a palindrome (55394249355).

The spelling of 11254104144 in words is "eleven billion, two hundred fifty-four million, one hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 157 216 314 432 471 628 942 1256 1413 1884 2512 2826 3768 4239 5652 7536 8478 11304 16956 22608 33912 67824 165931 331862 497793 663724 995586 1327448 1493379 1991172 2654896 2986758 3982344 4480137 5973516 7964688 8960274 11947032 17920548 23894064 26051167 35841096 52102334 71682192 78153501 104204668 156307002 208409336 234460503 312614004 416818672 468921006 625228008 703381509 937842012 1250456016 1406763018 1875684024 2813526036 3751368048 5627052072 11254104144