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14542421340 = 2235472109721
BaseRepresentation
bin11011000101100101…
…11011110101011100
31101112111010112202210
431202302323311130
5214240324440330
610403010320420
71023242353566
oct154262736534
941474115683
1014542421340
1161928aa437
12299a289110
1314a9ac7955
149bd552336
155a1a7a8b0
hex362cbbd5c

14542421340 has 72 divisors (see below), whose sum is σ = 41603949072. Its totient is φ = 3795434240.

The previous prime is 14542421339. The next prime is 14542421351. The reversal of 14542421340 is 4312424541.

It is a super-2 number, since 2×145424213402 (a number of 21 digits) contains 22 as substring.

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 = 14542421298 and 14542421307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77680 + ... + 187400.

It is an arithmetic number, because the mean of its divisors is an integer number (577832626).

Almost surely, 214542421340 is an apocalyptic number.

14542421340 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 14542421340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20801974536).

14542421340 is an abundant number, since it is smaller than the sum of its proper divisors (27061527732).

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

14542421340 is a wasteful number, since it uses less digits than its factorization.

14542421340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109827 (or 109778 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 14542421340 its reverse (4312424541), we get a palindrome (18854845881).

The spelling of 14542421340 in words is "fourteen billion, five hundred forty-two million, four hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2209 2820 4418 6627 8836 11045 13254 22090 26508 33135 44180 66270 109721 132540 219442 329163 438884 548605 658326 1097210 1316652 1645815 2194420 3291630 5156887 6583260 10313774 15470661 20627548 25784435 30941322 51568870 61882644 77353305 103137740 154706610 242373689 309413220 484747378 727121067 969494756 1211868445 1454242134 2423736890 2908484268 3635605335 4847473780 7271210670 14542421340