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145323055400 = 23522837256121
BaseRepresentation
bin1000011101010111101…
…1011101100100101000
3111220002210222010000012
42013111323131210220
54340110200233100
6150432133231052
713333145406155
oct2072573354450
9456083863005
10145323055400
11566a4092486
12241b8492488
131091c631713
14706858522c
153ba81dd135
hex21d5edd928

145323055400 has 48 divisors (see below), whose sum is σ = 337996519740. Its totient is φ = 58108505600.

The previous prime is 145323055349. The next prime is 145323055403. The reversal of 145323055400 is 4550323541.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 13230060484 + 132092994916 = 115022^2 + 363446^2 .

It is a super-2 number, since 2×1453230554002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145323055403) 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, 439340 + ... + 695460.

Almost surely, 2145323055400 is an apocalyptic number.

145323055400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145323055400 is an abundant number, since it is smaller than the sum of its proper divisors (192673464340).

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

145323055400 is a wasteful number, since it uses less digits than its factorization.

145323055400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258974 (or 258965 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

Adding to 145323055400 its reverse (4550323541), we get a palindrome (149873378941).

The spelling of 145323055400 in words is "one hundred forty-five billion, three hundred twenty-three million, fifty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2837 5674 11348 14185 22696 28370 56740 70925 113480 141850 256121 283700 512242 567400 1024484 1280605 2048968 2561210 5122420 6403025 10244840 12806050 25612100 51224200 726615277 1453230554 2906461108 3633076385 5812922216 7266152770 14532305540 18165381925 29064611080 36330763850 72661527700 145323055400