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145803161304 = 233231172137957
BaseRepresentation
bin1000011111001010001…
…0111010111011011000
3111221100021101000111100
42013302202322323120
54342101102130204
6150551523431400
713351065264633
oct2076242727330
9457307330440
10145803161304
11569200a1119
1224311225560
1310997c3c658
1470b223cc1a
153bd5426a39
hex21f28baed8

145803161304 has 96 divisors (see below), whose sum is σ = 407869338240. Its totient is φ = 47004710400.

The previous prime is 145803161281. The next prime is 145803161321. The reversal of 145803161304 is 403161308541.

145803161304 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 0 + 31 + 613 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3822294 + ... + 3860250.

It is an arithmetic number, because the mean of its divisors is an integer number (4248638940).

Almost surely, 2145803161304 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 145803161304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203934669120).

145803161304 is an abundant number, since it is smaller than the sum of its proper divisors (262066176936).

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

145803161304 is a wasteful number, since it uses less digits than its factorization.

145803161304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39721 (or 39714 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 145803161304 its reverse (403161308541), we get a palindrome (548964469845).

The spelling of 145803161304 in words is "one hundred forty-five billion, eight hundred three million, one hundred sixty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 1721 2232 3442 5163 6884 10326 13768 15489 20652 30978 37957 41304 53351 61956 75914 106702 113871 123912 151828 160053 213404 227742 303656 320106 341613 426808 455484 480159 640212 683226 910968 960318 1176667 1280424 1366452 1920636 2353334 2732904 3530001 3841272 4706668 7060002 9413336 10590003 14120004 21180006 28240008 42360012 65323997 84720024 130647994 195971991 261295988 391943982 522591976 587915973 783887964 1175831946 1567775928 2025043907 2351663892 4050087814 4703327784 6075131721 8100175628 12150263442 16200351256 18225395163 24300526884 36450790326 48601053768 72901580652 145803161304