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145320245000 = 235475970373
BaseRepresentation
bin1000011101010111000…
…0101111011100001000
3111220002121200022212022
42013111300233130020
54340103440320000
6150431553104012
713333112462450
oct2072560573410
9456077608768
10145320245000
11566a2542a37
12241b7558008
131091bb89468
147068052d60
153ba7d35585
hex21d5c2f708

145320245000 has 160 divisors (see below), whose sum is σ = 395727076800. Its totient is φ = 48978912000.

The previous prime is 145320244997. The next prime is 145320245011. The reversal of 145320245000 is 542023541.

It is a happy number.

It is a super-2 number, since 2×1453202450002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2029814 + ... + 2100186.

It is an arithmetic number, because the mean of its divisors is an integer number (2473294230).

Almost surely, 2145320245000 is an apocalyptic number.

145320245000 is a gapful number since it is divisible by the number (10) 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 145320245000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197863538400).

145320245000 is an abundant number, since it is smaller than the sum of its proper divisors (250406831800).

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

145320245000 is an equidigital number, since it uses as much as digits as its factorization.

145320245000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70465 (or 70446 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 145320245000 its reverse (542023541), we get a palindrome (145862268541).

The spelling of 145320245000 in words is "one hundred forty-five billion, three hundred twenty million, two hundred forty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 59 70 100 118 125 140 175 200 236 250 280 295 350 413 472 500 590 625 700 826 875 1000 1180 1250 1400 1475 1652 1750 2065 2360 2500 2950 3304 3500 4130 4375 5000 5900 7000 7375 8260 8750 10325 11800 14750 16520 17500 20650 29500 35000 36875 41300 51625 59000 70373 73750 82600 103250 140746 147500 206500 258125 281492 295000 351865 413000 492611 516250 562984 703730 985222 1032500 1407460 1759325 1970444 2065000 2463055 2814920 3518650 3940888 4152007 4926110 7037300 8304014 8796625 9852220 12315275 14074600 16608028 17593250 19704440 20760035 24630550 29064049 33216056 35186500 41520070 43983125 49261100 58128098 61576375 70373000 83040140 87966250 98522200 103800175 116256196 123152750 145320245 166080280 175932500 207600350 232512392 246305500 290640490 307881875 351865000 415200700 492611000 519000875 581280980 615763750 726601225 830401400 1038001750 1162561960 1231527500 1453202450 2076003500 2463055000 2595004375 2906404900 3633006125 4152007000 5190008750 5812809800 7266012250 10380017500 14532024500 18165030625 20760035000 29064049000 36330061250 72660122500 145320245000