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4226143488 = 28377611033
BaseRepresentation
bin1111101111100101…
…1101010100000000
3101220112020022222220
43323321131110000
532123343042423
61535204531040
7206504425020
oct37371352400
911815208886
104226143488
111879603176
1299b3b0a80
13524730528
142c13bda80
1519b0459e3
hexfbe5d500

4226143488 has 144 divisors (see below), whose sum is σ = 12883871616. Its totient is φ = 1204715520.

The previous prime is 4226143483. The next prime is 4226143499. The reversal of 4226143488 is 8843416224.

It is a happy number.

It is a super-2 number, since 2×42261434882 = 35720577562329612288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4226143483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4090620 + ... + 4091652.

Almost surely, 24226143488 is an apocalyptic number.

4226143488 is a gapful number since it is divisible by the number (48) 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 4226143488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6441935808).

4226143488 is an abundant number, since it is smaller than the sum of its proper divisors (8657728128).

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

4226143488 is a wasteful number, since it uses less digits than its factorization.

4226143488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1806 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 4226143488 is about 65008.7954664598. The cubic root of 4226143488 is about 1616.7693947594.

The spelling of 4226143488 in words is "four billion, two hundred twenty-six million, one hundred forty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 761 768 896 1033 1344 1522 1792 2066 2283 2688 3044 3099 4132 4566 5327 5376 6088 6198 7231 8264 9132 10654 12176 12396 14462 15981 16528 18264 21308 21693 24352 24792 28924 31962 33056 36528 42616 43386 48704 49584 57848 63924 66112 73056 85232 86772 97408 99168 115696 127848 132224 146112 170464 173544 194816 198336 231392 255696 264448 292224 340928 347088 396672 462784 511392 584448 681856 694176 786113 793344 925568 1022784 1363712 1388352 1572226 1851136 2045568 2358339 2776704 3144452 4091136 4716678 5502791 5553408 6288904 9433356 11005582 12577808 16508373 18866712 22011164 25155616 33016746 37733424 44022328 50311232 66033492 75466848 88044656 100622464 132066984 150933696 176089312 201244928 264133968 301867392 352178624 528267936 603734784 704357248 1056535872 1408714496 2113071744 4226143488