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148420303444 = 22731216733029
BaseRepresentation
bin1000101000111010001…
…0100001101001010100
3112012002122222121120201
42022032202201221110
54412431044202234
6152103334110244
713502664522640
oct2121642415124
9465078877521
10148420303444
1157a43434806
12249217ab384
1310cc4204c7a
14727da63c20
153cda091314
hex228e8a1a54

148420303444 has 72 divisors (see below), whose sum is σ = 308571016320. Its totient is φ = 61186351680.

The previous prime is 148420303379. The next prime is 148420303453. The reversal of 148420303444 is 444303024841.

It is a happy number.

It is a super-2 number, since 2×1484203034442 (a number of 23 digits) contains 22 as substring.

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, 4477122 + ... + 4510150.

It is an arithmetic number, because the mean of its divisors is an integer number (4285708560).

Almost surely, 2148420303444 is an apocalyptic number.

148420303444 is a gapful number since it is divisible by the number (14) 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 148420303444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154285508160).

148420303444 is an abundant number, since it is smaller than the sum of its proper divisors (160150712876).

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

148420303444 is a wasteful number, since it uses less digits than its factorization.

148420303444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33269 (or 33236 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 37.

The spelling of 148420303444 in words is "one hundred forty-eight billion, four hundred twenty million, three hundred three thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 31 62 124 167 217 334 434 668 868 961 1169 1922 2338 3844 4676 5177 6727 10354 13454 20708 26908 33029 36239 66058 72478 132116 144956 160487 231203 320974 462406 641948 924812 1023899 1123409 2047798 2246818 4095596 4493636 5515843 7167293 11031686 14334586 22063372 28669172 31740869 38610901 63481738 77221802 126963476 154443604 170991133 222186083 341982266 444372166 683964532 888744332 1196937931 2393875862 4787751724 5300725123 10601450246 21202900492 37105075861 74210151722 148420303444