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14242055540 = 22537109317557
BaseRepresentation
bin11010100001110010…
…01000010101110100
31100202112221101100112
431100321020111310
5213131431234130
610313120402152
71012634321546
oct152071102564
940675841315
1014242055540
1160492a6139
122915776358
13145c7cc4cb
149916c5696
155854e8495
hex350e48574

14242055540 has 96 divisors (see below), whose sum is σ = 31152068640. Its totient is φ = 5464848384.

The previous prime is 14242055533. The next prime is 14242055563. The reversal of 14242055540 is 4555024241.

It can be written as a sum of positive squares in 16 ways, for example, as 5222374756 + 9019680784 = 72266^2 + 94972^2 .

It is a super-2 number, since 2×142420555402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14242055497 and 14242055506.

It is a congruent number.

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, 25568942 + ... + 25569498.

It is an arithmetic number, because the mean of its divisors is an integer number (324500715).

Almost surely, 214242055540 is an apocalyptic number.

14242055540 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 14242055540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15576034320).

14242055540 is an abundant number, since it is smaller than the sum of its proper divisors (16910013100).

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

14242055540 is a wasteful number, since it uses less digits than its factorization.

14242055540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 32.

Adding to 14242055540 its reverse (4555024241), we get a palindrome (18797079781).

The spelling of 14242055540 in words is "fourteen billion, two hundred forty-two million, fifty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 37 74 109 148 185 218 317 370 436 545 557 634 740 1090 1114 1268 1585 2180 2228 2785 3170 4033 5570 6340 8066 11140 11729 16132 20165 20609 23458 34553 40330 41218 46916 58645 60713 69106 80660 82436 103045 117290 121426 138212 172765 176569 206090 234580 242852 303565 345530 353138 412180 607130 691060 706276 882845 1214260 1278461 1765690 2246381 2556922 3531380 4492762 5113844 6392305 6533053 8985524 11231905 12784610 13066106 19246021 22463810 25569220 26132212 32665265 38492042 44927620 65330530 76984084 96230105 130661060 192460210 384920420 712102777 1424205554 2848411108 3560513885 7121027770 14242055540