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4412200144 = 241127132099
BaseRepresentation
bin1000001101111110…
…01101010011010000
3102101111022222202011
410012333031103100
533014010401034
62005452432304
7214224040162
oct40677152320
912344288664
104412200144
111964632300
12a31778694
13554145121
142dbdb2932
151ac548864
hex106fcd4d0

4412200144 has 60 divisors (see below), whose sum is σ = 9529077600. Its totient is φ = 1977236800.

The previous prime is 4412200129. The next prime is 4412200183. The reversal of 4412200144 is 4410022144.

It is a super-2 number, since 2×44122001442 = 38935020221427241472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121407 + ... + 153505.

It is an arithmetic number, because the mean of its divisors is an integer number (158817960).

Almost surely, 24412200144 is an apocalyptic number.

4412200144 is a gapful number since it is divisible by the number (44) 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 4412200144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4764538800).

4412200144 is an abundant number, since it is smaller than the sum of its proper divisors (5116877456).

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

4412200144 is a wasteful number, since it uses less digits than its factorization.

4412200144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32200 (or 32183 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 4412200144 is about 66424.3941936997. The cubic root of 4412200144 is about 1640.1556643835.

Adding to 4412200144 its reverse (4410022144), we get a palindrome (8822222288).

The spelling of 4412200144 in words is "four billion, four hundred twelve million, two hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 71 88 121 142 176 242 284 484 568 781 968 1136 1562 1936 3124 6248 8591 12496 17182 32099 34364 64198 68728 128396 137456 256792 353089 513584 706178 1412356 2279029 2824712 3883979 4558058 5649424 7767958 9116116 15535916 18232232 25069319 31071832 36464464 50138638 62143664 100277276 200554552 275762509 401109104 551525018 1103050036 2206100072 4412200144