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148142238048 = 25327186739359
BaseRepresentation
bin1000100111110111110…
…1110010100101100000
3112011101021202102120100
42021331331302211200
54411343403104143
6152020002142400
713463050150440
oct2117575624540
9464337672510
10148142238048
11579104820a2
1224864651a00
1310c7b71702c
147254b60120
153cc09666d3
hex227df72960

148142238048 has 144 divisors (see below), whose sum is σ = 481732392960. Its totient is φ = 42302608128.

The previous prime is 148142238007. The next prime is 148142238103. The reversal of 148142238048 is 840832241841.

148142238048 is a `hidden beast` number, since 148 + 1 + 422 + 3 + 80 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1481422380482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 148142237994 and 148142238012.

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, 3744193 + ... + 3783551.

It is an arithmetic number, because the mean of its divisors is an integer number (3345363840).

Almost surely, 2148142238048 is an apocalyptic number.

148142238048 is a gapful number since it is divisible by the number (18) 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 148142238048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240866196480).

148142238048 is an abundant number, since it is smaller than the sum of its proper divisors (333590154912).

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

148142238048 is a wasteful number, since it uses less digits than its factorization.

148142238048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41249 (or 41238 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

Adding to 148142238048 its reverse (840832241841), we get a palindrome (988974479889).

The spelling of 148142238048 in words is "one hundred forty-eight billion, one hundred forty-two million, two hundred thirty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1867 2016 3734 5601 7468 11202 13069 14936 16803 22404 26138 29872 33606 39207 39359 44808 52276 59744 67212 78414 78718 89616 104552 117621 118077 134424 156828 157436 179232 209104 235242 236154 268848 275513 313656 314872 354231 418208 470484 472308 537696 551026 627312 629744 708462 826539 940968 944616 1102052 1254624 1259488 1416924 1653078 1881936 1889232 2204104 2479617 2833848 3306156 3763872 3778464 4408208 4959234 5667696 6612312 8816416 9918468 11335392 13224624 19836936 26449248 39673872 73483253 79347744 146966506 220449759 293933012 440899518 514382771 587866024 661349277 881799036 1028765542 1175732048 1322698554 1543148313 1763598072 2057531084 2351464096 2645397108 3086296626 3527196144 4115062168 4629444939 5290794216 6172593252 7054392288 8230124336 9258889878 10581588432 12345186504 16460248672 18517779756 21163176864 24690373008 37035559512 49380746016 74071119024 148142238048