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5414334510 = 2351329487983
BaseRepresentation
bin1010000101011100…
…00011000000101110
3111222100000200122210
411002232003000232
542042032201020
62253131551250
7251113040544
oct50256030056
914870020583
105414334510
112329283722
1210712bb526
1368394b940
14395117d94
1521a4ec3e0
hex142b8302e

5414334510 has 128 divisors (see below), whose sum is σ = 14521006080. Its totient is φ = 1282853376.

The previous prime is 5414334509. The next prime is 5414334517. The reversal of 5414334510 is 154334145.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5414334517) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5507479 + ... + 5508461.

It is an arithmetic number, because the mean of its divisors is an integer number (113445360).

Almost surely, 25414334510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5414334510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7260503040).

5414334510 is an abundant number, since it is smaller than the sum of its proper divisors (9106671570).

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

5414334510 is a wasteful number, since it uses less digits than its factorization.

5414334510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522.

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 5414334510 is about 73582.1616290253. The cubic root of 5414334510 is about 1755.9616550884.

Adding to 5414334510 its reverse (154334145), we get a palindrome (5568668655).

The spelling of 5414334510 in words is "five billion, four hundred fourteen million, three hundred thirty-four thousand, five hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 39 58 65 78 87 130 145 174 195 290 377 390 435 487 754 870 974 983 1131 1461 1885 1966 2262 2435 2922 2949 3770 4870 4915 5655 5898 6331 7305 9830 11310 12662 12779 14123 14610 14745 18993 25558 28246 28507 29490 31655 37986 38337 42369 57014 63310 63895 70615 76674 84738 85521 94965 127790 141230 142535 171042 183599 189930 191685 211845 285070 367198 370591 383370 423690 427605 478721 550797 741182 855210 917995 957442 1101594 1111773 1436163 1835990 1852955 2223546 2393605 2753985 2872326 3705910 4787210 5507970 5558865 6223373 7180815 11117730 12446746 13882909 14361630 18670119 27765818 31116865 37340238 41648727 62233730 69414545 83297454 93350595 138829090 180477817 186701190 208243635 360955634 416487270 541433451 902389085 1082866902 1804778170 2707167255 5414334510