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1415141420 = 2257112931687
BaseRepresentation
bin101010001011001…
…0101100000101100
310122121211122002012
41110112111200230
510344234011140
6352231220352
750032334510
oct12426254054
93577748065
101415141420
116668a0770
12335b176b8
131972505b4
14d5d34140
1584386265
hex5459582c

1415141420 has 96 divisors (see below), whose sum is σ = 3832980480. Its totient is φ = 425859840.

The previous prime is 1415141419. The next prime is 1415141461. The reversal of 1415141420 is 241415141.

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 31 ways as a sum of consecutive naturals, for example, 28817 + ... + 60503.

It is an arithmetic number, because the mean of its divisors is an integer number (39926880).

Almost surely, 21415141420 is an apocalyptic number.

1415141420 is a gapful number since it is divisible by the number (10) 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 1415141420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916490240).

1415141420 is an abundant number, since it is smaller than the sum of its proper divisors (2417839060).

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

1415141420 is a wasteful number, since it uses less digits than its factorization.

1415141420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31743 (or 31741 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 1415141420 is about 37618.3654615668. The cubic root of 1415141420 is about 1122.7074750050.

Adding to 1415141420 its reverse (241415141), we get a palindrome (1656556561).

The spelling of 1415141420 in words is "one billion, four hundred fifteen million, one hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 29 35 44 55 58 70 77 110 116 140 145 154 203 220 290 308 319 385 406 580 638 770 812 1015 1276 1540 1595 2030 2233 3190 4060 4466 6380 8932 11165 22330 31687 44660 63374 126748 158435 221809 316870 348557 443618 633740 697114 887236 918923 1109045 1394228 1742785 1837846 2218090 2439899 3485570 3675692 4436180 4594615 4879798 6432461 6971140 9189230 9759596 10108153 12199495 12864922 18378460 20216306 24398990 25729844 32162305 40432612 48797980 50540765 64324610 70757071 101081530 128649220 141514142 202163060 283028284 353785355 707570710 1415141420