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1414241080 = 235731612671
BaseRepresentation
bin101010001001011…
…1001101100111000
310122120010220001021
41110102321230320
510344021203310
6352200032224
750021564560
oct12422715470
93576126037
101414241080
1166633628a
12335762674
13196cc6855
14d5b7bda0
15842595da
hex544b9b38

1414241080 has 128 divisors (see below), whose sum is σ = 3816898560. Its totient is φ = 461376000.

The previous prime is 1414241077. The next prime is 1414241083. The reversal of 1414241080 is 801424141.

It is an interprime number because it is at equal distance from previous prime (1414241077) and next prime (1414241083).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414241083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 528145 + ... + 530815.

It is an arithmetic number, because the mean of its divisors is an integer number (29819520).

Almost surely, 21414241080 is an apocalyptic number.

1414241080 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 1414241080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908449280).

1414241080 is an abundant number, since it is smaller than the sum of its proper divisors (2402657480).

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

1414241080 is a wasteful number, since it uses less digits than its factorization.

1414241080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 1414241080 is about 37606.3967962899. The cubic root of 1414241080 is about 1122.4693285138.

The spelling of 1414241080 in words is "one billion, four hundred fourteen million, two hundred forty-one thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 61 62 70 122 124 140 155 217 244 248 280 305 310 427 434 488 610 620 854 868 1085 1220 1240 1708 1736 1891 2135 2170 2440 2671 3416 3782 4270 4340 5342 7564 8540 8680 9455 10684 13237 13355 15128 17080 18697 18910 21368 26474 26710 37394 37820 52948 53420 66185 74788 75640 82801 93485 105896 106840 132370 149576 162931 165602 186970 264740 325862 331204 373940 414005 529480 579607 651724 662408 747880 814655 828010 1140517 1159214 1303448 1629310 1656020 2281034 2318428 2898035 3258620 3312040 4562068 4636856 5050861 5702585 5796070 6517240 9124136 10101722 11405170 11592140 20203444 22810340 23184280 25254305 35356027 40406888 45620680 50508610 70712054 101017220 141424108 176780135 202034440 282848216 353560270 707120540 1414241080