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1414342540 = 2251317433739
BaseRepresentation
bin101010001001101…
…0010011110001100
310122120100001020001
41110103102132030
510344032430130
6352202134044
750022466432
oct12423223614
93576301201
101414342540
116663a5536
123357b1324
13197030aa0
14d5ba6d52
15842796ca
hex544d278c

1414342540 has 96 divisors (see below), whose sum is σ = 3399157440. Its totient is φ = 489701376.

The previous prime is 1414342537. The next prime is 1414342561. The reversal of 1414342540 is 452434141.

It is a junction number, because it is equal to n+sod(n) for n = 1414342499 and 1414342508.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1913491 + ... + 1914229.

It is an arithmetic number, because the mean of its divisors is an integer number (35407890).

Almost surely, 21414342540 is an apocalyptic number.

1414342540 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 1414342540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699578720).

1414342540 is an abundant number, since it is smaller than the sum of its proper divisors (1984814900).

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

1414342540 is a wasteful number, since it uses less digits than its factorization.

1414342540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 1414342540 is about 37607.7457447266. The cubic root of 1414342540 is about 1122.4961704755.

Adding to 1414342540 its reverse (452434141), we get a palindrome (1866776681).

The spelling of 1414342540 in words is "one billion, four hundred fourteen million, three hundred forty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 433 442 739 866 884 1105 1478 1732 2165 2210 2956 3695 4330 4420 5629 7361 7390 8660 9607 11258 12563 14722 14780 19214 22516 25126 28145 29444 36805 38428 48035 50252 56290 62815 73610 95693 96070 112580 125630 147220 163319 191386 192140 251260 319987 326638 382772 478465 639974 653276 816595 956930 1279948 1599935 1633190 1913860 3199870 3266380 4159831 5439779 6399740 8319662 10879558 16639324 20799155 21759116 27198895 41598310 54397790 70717127 83196620 108795580 141434254 282868508 353585635 707171270 1414342540