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145204234000 = 2453729393529
BaseRepresentation
bin1000011100111011011…
…0001100011100010000
3111212210112101100200121
42013032312030130100
54334334240442000
6150412250400024
713330203424120
oct2071666143420
9455715340617
10145204234000
1156643006181
1224184730014
1310900b2b0b7
147056894c80
153b9ca6bb1a
hex21ced8c710

145204234000 has 160 divisors (see below), whose sum is σ = 401511801600. Its totient is φ = 49753267200.

The previous prime is 145204233971. The next prime is 145204234001. The reversal of 145204234000 is 432402541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (145204234001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41144236 + ... + 41147764.

It is an arithmetic number, because the mean of its divisors is an integer number (2509448760).

Almost surely, 2145204234000 is an apocalyptic number.

145204234000 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 145204234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200755900800).

145204234000 is an abundant number, since it is smaller than the sum of its proper divisors (256307567600).

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

145204234000 is a wasteful number, since it uses less digits than its factorization.

145204234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6498 (or 6482 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 145204234000 its reverse (432402541), we get a palindrome (145636636541).

The spelling of 145204234000 in words is "one hundred forty-five billion, two hundred four million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 2939 3500 3529 5878 7000 7058 11756 14000 14116 14695 17645 20573 23512 24703 28232 29390 35290 41146 47024 49406 56464 58780 70580 73475 82292 88225 98812 102865 117560 123515 141160 146950 164584 176450 197624 205730 235120 247030 282320 293900 329168 352900 367375 395248 411460 441125 494060 514325 587800 617575 705800 734750 822920 882250 988120 1028650 1175600 1235150 1411600 1469500 1645840 1764500 1976240 2057300 2470300 2571625 2939000 3087875 3529000 4114600 4940600 5143250 5878000 6175750 7058000 8229200 9881200 10286500 10371731 12351500 20573000 20743462 24703000 41146000 41486924 49406000 51858655 72602117 82973848 103717310 145204234 165947696 207434620 259293275 290408468 363010585 414869240 518586550 580816936 726021170 829738480 1037173100 1161633872 1296466375 1452042340 1815052925 2074346200 2592932750 2904084680 3630105850 4148692400 5185865500 5808169360 7260211700 9075264625 10371731000 14520423400 18150529250 20743462000 29040846800 36301058500 72602117000 145204234000