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148412304138 = 23719599732497
BaseRepresentation
bin1000101000111000010…
…0000000101100001010
3112012002002221012121010
42022032010000230022
54412422022213023
6152102450424350
713502536525230
oct2121604005412
9465062835533
10148412304138
1157a3997080a
122491ab920b6
1310cc2663c57
14727c980950
153cd9511093
hex228e100b0a

148412304138 has 128 divisors (see below), whose sum is σ = 366889420800. Its totient is φ = 39082549248.

The previous prime is 148412304137. The next prime is 148412304143. The reversal of 148412304138 is 831403214841.

148412304138 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 148412304096 and 148412304105.

It is not an unprimeable number, because it can be changed into a prime (148412304133) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4550706 + ... + 4583202.

It is an arithmetic number, because the mean of its divisors is an integer number (2866323600).

Almost surely, 2148412304138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148412304138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183444710400).

148412304138 is an abundant number, since it is smaller than the sum of its proper divisors (218477116662).

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

148412304138 is a wasteful number, since it uses less digits than its factorization.

148412304138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32684.

The product of its (nonzero) digits is 73728, while the sum is 39.

Adding to 148412304138 its reverse (831403214841), we get a palindrome (979815518979).

The spelling of 148412304138 in words is "one hundred forty-eight billion, four hundred twelve million, three hundred four thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 59 97 114 118 133 177 194 266 291 354 399 413 582 679 798 826 1121 1239 1358 1843 2037 2242 2478 3363 3686 4074 5529 5723 6726 7847 11058 11446 12901 15694 17169 23541 25802 32497 34338 38703 40061 47082 64994 77406 80122 97491 108737 120183 194982 217474 227479 240366 326211 454958 617443 652422 682437 761159 1234886 1364874 1522318 1852329 1917323 2283477 3152209 3704658 3834646 4322101 4566954 5751969 6304418 8644202 9456627 11503938 12966303 13421261 18913254 22065463 25932606 26842522 36429137 40263783 44130926 59891971 66196389 72858274 80527566 109287411 119783942 132392778 179675913 185980331 218574822 255003959 359351826 371960662 419243797 510007918 557940993 765011877 838487594 1115881986 1257731391 1301862317 1530023754 2515462782 2603724634 3533626289 3905586951 7067252578 7811173902 10600878867 21201757734 24735384023 49470768046 74206152069 148412304138