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4130410240 = 28511319463
BaseRepresentation
bin1111011000110001…
…0000111100000000
3101122212002120200001
43312030100330000
531424341111430
61521505005344
7204232623235
oct36614207400
911585076601
104130410240
11182a566390
12973323854
1350a951b38
142b27bd78c
151929353ca
hexf6310f00

4130410240 has 144 divisors (see below), whose sum is σ = 11142383616. Its totient is φ = 1453363200.

The previous prime is 4130410217. The next prime is 4130410267. The reversal of 4130410240 is 420140314.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 431749 + ... + 441211.

It is an arithmetic number, because the mean of its divisors is an integer number (77377664).

Almost surely, 24130410240 is an apocalyptic number.

4130410240 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 4130410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571191808).

4130410240 is an abundant number, since it is smaller than the sum of its proper divisors (7011973376).

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

4130410240 is a wasteful number, since it uses less digits than its factorization.

4130410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9526 (or 9512 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4130410240 is about 64268.2677532233. The cubic root of 4130410240 is about 1604.4680114322.

Adding to 4130410240 its reverse (420140314), we get a palindrome (4550550554).

The spelling of 4130410240 in words is "four billion, one hundred thirty million, four hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 64 80 88 110 124 128 155 160 176 220 248 256 310 320 341 352 440 496 620 640 682 704 880 992 1240 1280 1364 1408 1705 1760 1984 2480 2728 2816 3410 3520 3968 4960 5456 6820 7040 7936 9463 9920 10912 13640 14080 18926 19840 21824 27280 37852 39680 43648 47315 54560 75704 87296 94630 104093 109120 151408 189260 208186 218240 293353 302816 378520 416372 436480 520465 586706 605632 757040 832744 1040930 1173412 1211264 1466765 1514080 1665488 2081860 2346824 2422528 2933530 3028160 3226883 3330976 4163720 4693648 5867060 6056320 6453766 6661952 8327440 9387296 11734120 12112640 12907532 13323904 16134415 16654880 18774592 23468240 25815064 26647808 32268830 33309760 37549184 46936480 51630128 64537660 66619520 75098368 93872960 103260256 129075320 133239040 187745920 206520512 258150640 375491840 413041024 516301280 826082048 1032602560 2065205120 4130410240