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1414455240 = 2335113728961
BaseRepresentation
bin101010001001110…
…1101111111001000
310122120112202211010
41110103231333020
510344100031430
6352204403520
750023446132
oct12423557710
93576482733
101414455240
11666472180
123358465a0
13197070183
14d5bd6052
158429ccb0
hex544edfc8

1414455240 has 128 divisors (see below), whose sum is σ = 4754401920. Its totient is φ = 333619200.

The previous prime is 1414455223. The next prime is 1414455241. The reversal of 1414455240 is 425544141.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1414455198 and 1414455207.

It is not an unprimeable number, because it can be changed into a prime (1414455241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34360 + ... + 63320.

It is an arithmetic number, because the mean of its divisors is an integer number (37143765).

Almost surely, 21414455240 is an apocalyptic number.

1414455240 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 1414455240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2377200960).

1414455240 is an abundant number, since it is smaller than the sum of its proper divisors (3339946680).

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

1414455240 is a wasteful number, since it uses less digits than its factorization.

1414455240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29023 (or 29019 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 1414455240 is about 37609.2440764236. The cubic root of 1414455240 is about 1122.5259845540.

Adding to 1414455240 its reverse (425544141), we get a palindrome (1839999381).

It can be divided in two parts, 1414 and 455240, that added together give a palindrome (456654).

The spelling of 1414455240 in words is "one billion, four hundred fourteen million, four hundred fifty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 37 40 44 55 60 66 74 88 110 111 120 132 148 165 185 220 222 264 296 330 370 407 440 444 555 660 740 814 888 1110 1221 1320 1480 1628 2035 2220 2442 3256 4070 4440 4884 6105 8140 9768 12210 16280 24420 28961 48840 57922 86883 115844 144805 173766 231688 289610 318571 347532 434415 579220 637142 695064 868830 955713 1071557 1158440 1274284 1592855 1737660 1911426 2143114 2548568 3185710 3214671 3475320 3822852 4286228 4778565 5357785 6371420 6429342 7645704 8572456 9557130 10715570 11787127 12742840 12858684 16073355 19114260 21431140 23574254 25717368 32146710 35361381 38228520 42862280 47148508 58935635 64293420 70722762 94297016 117871270 128586840 141445524 176806905 235742540 282891048 353613810 471485080 707227620 1414455240