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148612241024 = 2713198356633
BaseRepresentation
bin1000101001100111111…
…0101101011010000000
3112012121001011001102222
42022121332231122000
54413324213203044
6152134352030212
713510515130502
oct2123176553200
9465531131388
10148612241024
1158031810305
1224975b32368
1311024bc85c0
14729b347d72
153cebd568ee
hex2299fad680

148612241024 has 128 divisors (see below), whose sum is σ = 339668078400. Its totient is φ = 64196222976.

The previous prime is 148612241021. The next prime is 148612241039. The reversal of 148612241024 is 420142216841.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (148612241021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2595812 + ... + 2652444.

Almost surely, 2148612241024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148612241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169834039200).

148612241024 is an abundant number, since it is smaller than the sum of its proper divisors (191055837376).

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

148612241024 is a wasteful number, since it uses less digits than its factorization.

148612241024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56762 (or 56750 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

Adding to 148612241024 its reverse (420142216841), we get a palindrome (568754457865).

The spelling of 148612241024 in words is "one hundred forty-eight billion, six hundred twelve million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 83 104 128 152 166 208 247 304 332 416 494 608 664 832 988 1079 1216 1328 1577 1664 1976 2158 2432 2656 3154 3952 4316 5312 6308 7904 8632 10624 12616 15808 17264 20501 25232 31616 34528 41002 50464 56633 69056 82004 100928 113266 138112 164008 201856 226532 328016 453064 656032 736229 906128 1076027 1312064 1472458 1812256 2152054 2624128 2944916 3624512 4304108 4700539 5889832 7249024 8608216 9401078 11779664 13988351 17216432 18802156 23559328 27976702 34432864 37604312 47118656 55953404 61107007 68865728 75208624 89310241 94237312 111906808 122214014 137731456 150417248 178620482 223813616 244428028 300834496 357240964 447627232 488856056 601668992 714481928 895254464 977712112 1161033133 1428963856 1790508928 1955424224 2322066266 2857927712 3910848448 4644132532 5715855424 7821696896 9288265064 11431710848 18576530128 37153060256 74306120512 148612241024