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1414031024 = 24723173797
BaseRepresentation
bin101010001001000…
…0110011010110000
310122112202012220102
41110102012122300
510343442443044
6352151331532
750020031300
oct12422063260
93575665812
101414031024
1166620248a
12335680ba8
13196c52063
14d5b25600
158421724e
hex544866b0

1414031024 has 120 divisors (see below), whose sum is σ = 3339036288. Its totient is φ = 577704960.

The previous prime is 1414031011. The next prime is 1414031029. The reversal of 1414031024 is 4201304141.

It is a junction number, because it is equal to n+sod(n) for n = 1414030987 and 1414031005.

It is not an unprimeable number, because it can be changed into a prime (1414031029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1773794 + ... + 1774590.

Almost surely, 21414031024 is an apocalyptic number.

1414031024 is a gapful number since it is divisible by the number (14) 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 1414031024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669518144).

1414031024 is an abundant number, since it is smaller than the sum of its proper divisors (1925005264).

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

1414031024 is a wasteful number, since it uses less digits than its factorization.

1414031024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1414031024 is about 37603.6038698421. The cubic root of 1414031024 is about 1122.4137526305.

Adding to 1414031024 its reverse (4201304141), we get a palindrome (5615335165).

The spelling of 1414031024 in words is "one billion, four hundred fourteen million, thirty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 73 98 112 124 146 196 217 248 292 392 434 496 511 584 784 797 868 1022 1168 1519 1594 1736 2044 2263 3038 3188 3472 3577 4088 4526 5579 6076 6376 7154 8176 9052 11158 12152 12752 14308 15841 18104 22316 24304 24707 28616 31682 36208 39053 44632 49414 57232 58181 63364 78106 89264 98828 110887 116362 126728 156212 172949 197656 221774 232724 253456 312424 345898 395312 407267 443548 465448 624848 691796 814534 887096 930896 1210643 1383592 1629068 1774192 1803611 2421286 2767184 2850869 3258136 3607222 4842572 5701738 6516272 7214444 9685144 11403476 12625277 14428888 19370288 22806952 25250554 28857776 45613904 50501108 88376939 101002216 176753878 202004432 353507756 707015512 1414031024