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140146128648 = 233212722368729
BaseRepresentation
bin1000001010000101011…
…1000011011100001000
3111101202000122222120100
42002201113003130020
54244004402104043
6144214321525400
713060644303231
oct2024127033410
9441660588510
10140146128648
1154487921819
12231b27a3860
13102a5c36a56
146ad6bca088
1539a3988cd3
hex20a15c3708

140146128648 has 96 divisors (see below), whose sum is σ = 384272179200. Its totient is φ = 46139030784.

The previous prime is 140146128641. The next prime is 140146128673. The reversal of 140146128648 is 846821641041.

140146128648 is a `hidden beast` number, since 14 + 0 + 14 + 612 + 8 + 6 + 4 + 8 = 666.

140146128648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (140146128641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2004748 + ... + 2073476.

It is an arithmetic number, because the mean of its divisors is an integer number (4002835200).

Almost surely, 2140146128648 is an apocalyptic number.

140146128648 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 140146128648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192136089600).

140146128648 is an abundant number, since it is smaller than the sum of its proper divisors (244126050552).

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

140146128648 is a wasteful number, since it uses less digits than its factorization.

140146128648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69091 (or 69084 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

Adding to 140146128648 its reverse (846821641041), we get a palindrome (986967769689).

The spelling of 140146128648 in words is "one hundred forty billion, one hundred forty-six million, one hundred twenty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 223 254 381 446 508 669 762 892 1016 1143 1338 1524 1784 2007 2286 2676 3048 4014 4572 5352 8028 9144 16056 28321 56642 68729 84963 113284 137458 169926 206187 226568 254889 274916 339852 412374 509778 549832 618561 679704 824748 1019556 1237122 1649496 2039112 2474244 4948488 8728583 15326567 17457166 26185749 30653134 34914332 45979701 52371498 61306268 69828664 78557247 91959402 104742996 122612536 137939103 157114494 183918804 209485992 275878206 314228988 367837608 551756412 628457976 1103512824 1946474009 3892948018 5839422027 7785896036 11678844054 15571792072 17518266081 23357688108 35036532162 46715376216 70073064324 140146128648