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4213041144 = 2331352325819
BaseRepresentation
bin1111101100011101…
…1110011111111000
3101212121120122221220
43323013132133320
532112014304034
61534020032040
7206255154534
oct37307363770
911777518856
104213041144
111872174194
12996b32620
13521ac3870
142bd76cbc4
15199d08749
hexfb1de7f8

4213041144 has 64 divisors (see below), whose sum is σ = 11364931200. Its totient is φ = 1293791616.

The previous prime is 4213041121. The next prime is 4213041181. The reversal of 4213041144 is 4411403124.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150267 + ... + 176085.

It is an arithmetic number, because the mean of its divisors is an integer number (177577050).

Almost surely, 24213041144 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 4213041144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5682465600).

4213041144 is an abundant number, since it is smaller than the sum of its proper divisors (7151890056).

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

4213041144 is a wasteful number, since it uses less digits than its factorization.

4213041144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26364 (or 26360 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4213041144 is about 64907.9436124732. The cubic root of 4213041144 is about 1615.0968377044.

Adding to 4213041144 its reverse (4411403124), we get a palindrome (8624444268).

The spelling of 4213041144 in words is "four billion, two hundred thirteen million, forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 523 1046 1569 2092 3138 4184 6276 6799 12552 13598 20397 25819 27196 40794 51638 54392 77457 81588 103276 154914 163176 206552 309828 335647 619656 671294 1006941 1342588 2013882 2685176 4027764 8055528 13503337 27006674 40510011 54013348 81020022 108026696 162040044 175543381 324080088 351086762 526630143 702173524 1053260286 1404347048 2106520572 4213041144