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2150118144 = 28323892399
BaseRepresentation
bin1000000000101000…
…0011001100000000
312112211211022121100
42000022003030000
513400412240034
6553204254400
7104165463006
oct20012031400
95484738540
102150118144
11a0375a649
125000a1400
132835b7c75
141657b4a76
15c8b67099
hex80283300

2150118144 has 108 divisors (see below), whose sum is σ = 6217848000. Its totient is φ = 714565632.

The previous prime is 2150118101. The next prime is 2150118161. The reversal of 2150118144 is 4418110512.

It is a happy number.

2150118144 is a `hidden beast` number, since 2 + 1 + 501 + 18 + 144 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 895057 + ... + 897455.

Almost surely, 22150118144 is an apocalyptic number.

2150118144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2150118144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3108924000).

2150118144 is an abundant number, since it is smaller than the sum of its proper divisors (4067729856).

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

2150118144 is a wasteful number, since it uses less digits than its factorization.

2150118144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 2150118144 is about 46369.3664394932. The cubic root of 2150118144 is about 1290.6865211829.

Adding to 2150118144 its reverse (4418110512), we get a palindrome (6568228656).

The spelling of 2150118144 in words is "two billion, one hundred fifty million, one hundred eighteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 389 576 768 778 1152 1167 1556 2304 2334 2399 3112 3501 4668 4798 6224 7002 7197 9336 9596 12448 14004 14394 18672 19192 21591 24896 28008 28788 37344 38384 43182 49792 56016 57576 74688 76768 86364 99584 112032 115152 149376 153536 172728 224064 230304 298752 307072 345456 448128 460608 614144 690912 896256 921216 933211 1381824 1842432 1866422 2763648 2799633 3732844 5527296 5599266 7465688 8398899 11198532 14931376 16797798 22397064 29862752 33595596 44794128 59725504 67191192 89588256 119451008 134382384 179176512 238902016 268764768 358353024 537529536 716706048 1075059072 2150118144