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4131430224 = 2431924118797
BaseRepresentation
bin1111011001000000…
…1001111101010000
3101122221000101211020
43312100021331100
531430121231344
61521542515440
7204244402035
oct36620117520
911587011736
104131430224
1118300a2749
12973735b80
1350ac1b18c
142b29a738c
15192a87719
hexf6409f50

4131430224 has 80 divisors (see below), whose sum is σ = 11281807680. Its totient is φ = 1299179520.

The previous prime is 4131430217. The next prime is 4131430271. The reversal of 4131430224 is 4220341314.

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

It is a junction number, because it is equal to n+sod(n) for n = 4131430194 and 4131430203.

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, 210394 + ... + 229190.

It is an arithmetic number, because the mean of its divisors is an integer number (141022596).

Almost surely, 24131430224 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 4131430224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5640903840).

4131430224 is an abundant number, since it is smaller than the sum of its proper divisors (7150377456).

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

4131430224 is a wasteful number, since it uses less digits than its factorization.

4131430224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19068 (or 19062 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4131430224 is about 64276.2026258552. The cubic root of 4131430224 is about 1604.6000723262.

Adding to 4131430224 its reverse (4220341314), we get a palindrome (8351771538).

The spelling of 4131430224 in words is "four billion, one hundred thirty-one million, four hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 241 304 456 482 723 912 964 1446 1928 2892 3856 4579 5784 9158 11568 13737 18316 18797 27474 36632 37594 54948 56391 73264 75188 109896 112782 150376 219792 225564 300752 357143 451128 714286 902256 1071429 1428572 2142858 2857144 4285716 4530077 5714288 8571432 9060154 13590231 17142864 18120308 27180462 36240616 54360924 72481232 86071463 108721848 172142926 217443696 258214389 344285852 516428778 688571704 1032857556 1377143408 2065715112 4131430224