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145432240416 = 2532874757731
BaseRepresentation
bin1000011101110001101…
…1111110000100100000
3111220101102102021200200
42013130123332010200
54340321123143131
6150451033345200
713335642434631
oct2073433760440
9456342367620
10145432240416
115674a787831
1224228b68200
131093913cb38
147078c87888
153bb2aa92e6
hex21dc6fe120

145432240416 has 72 divisors (see below), whose sum is σ = 413627379984. Its totient is φ = 48471031680.

The previous prime is 145432240411. The next prime is 145432240427. The reversal of 145432240416 is 614042234541.

145432240416 is a `hidden beast` number, since 14 + 5 + 4 + 3 + 224 + 0 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (145432240411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2490271 + ... + 2548001.

It is an arithmetic number, because the mean of its divisors is an integer number (5744824722).

Almost surely, 2145432240416 is an apocalyptic number.

145432240416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145432240416 is an abundant number, since it is smaller than the sum of its proper divisors (268195139568).

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

145432240416 is a wasteful number, since it uses less digits than its factorization.

145432240416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66494 (or 66483 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 145432240416 its reverse (614042234541), we get a palindrome (759474474957).

The spelling of 145432240416 in words is "one hundred forty-five billion, four hundred thirty-two million, two hundred forty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 8747 17494 26241 34988 52482 57731 69976 78723 104964 115462 139952 157446 173193 209928 230924 279904 314892 346386 419856 461848 519579 629784 692772 839712 923696 1039158 1259568 1385544 1847392 2078316 2519136 2771088 4156632 5542176 8313264 16626528 504973057 1009946114 1514919171 2019892228 3029838342 4039784456 4544757513 6059676684 8079568912 9089515026 12119353368 16159137824 18179030052 24238706736 36358060104 48477413472 72716120208 145432240416