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4232423040 = 27357872801
BaseRepresentation
bin1111110001000101…
…1010011010000000
3101220222001100220220
43330101122122000
532132000014130
61535551303040
7206612000526
oct37421323200
911828040826
104232423040
11188210208a
129a151aa80
13525b1b841
142c2176316
1519b886410
hexfc45a680

4232423040 has 128 divisors (see below), whose sum is σ = 13512813120. Its totient is φ = 1126809600.

The previous prime is 4232423011. The next prime is 4232423089. The reversal of 4232423040 is 403242324.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4232423040.

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, 1509640 + ... + 1512440.

Almost surely, 24232423040 is an apocalyptic number.

4232423040 is a gapful number since it is divisible by the number (40) 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 4232423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6756406560).

4232423040 is an abundant number, since it is smaller than the sum of its proper divisors (9280390080).

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

4232423040 is a wasteful number, since it uses less digits than its factorization.

4232423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3610 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 4232423040 is about 65057.0752493532. The cubic root of 4232423040 is about 1617.5697748337.

Adding to 4232423040 its reverse (403242324), we get a palindrome (4635665364).

The spelling of 4232423040 in words is "four billion, two hundred thirty-two million, four hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 787 960 1574 1920 2361 2801 3148 3935 4722 5602 6296 7870 8403 9444 11204 11805 12592 14005 15740 16806 18888 22408 23610 25184 28010 31480 33612 37776 42015 44816 47220 50368 56020 62960 67224 75552 84030 89632 94440 100736 112040 125920 134448 151104 168060 179264 188880 224080 251840 268896 302208 336120 358528 377760 448160 503680 537792 672240 755520 896320 1075584 1344480 1511040 1792640 2204387 2688960 4408774 5377920 6613161 8817548 11021935 13226322 17635096 22043870 26452644 33065805 35270192 44087740 52905288 66131610 70540384 88175480 105810576 132263220 141080768 176350960 211621152 264526440 282161536 352701920 423242304 529052880 705403840 846484608 1058105760 1410807680 2116211520 4232423040