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145520423200 = 2552317198161
BaseRepresentation
bin1000011110000110110…
…0010111000100100000
3111220121120100102201201
42013201230113010200
54341011212020300
6150503503410544
713341063121405
oct2074154270440
9456546312651
10145520423200
1156795537869
12242525b3a54
13109514a68b9
1470868802ac
153bba6c766a
hex21e1b17120

145520423200 has 144 divisors (see below), whose sum is σ = 367266493440. Its totient is φ = 56245248000.

The previous prime is 145520423189. The next prime is 145520423201. The reversal of 145520423200 is 2324025541.

It is not an unprimeable number, because it can be changed into a prime (145520423201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17827120 + ... + 17835280.

It is an arithmetic number, because the mean of its divisors is an integer number (2550461760).

Almost surely, 2145520423200 is an apocalyptic number.

145520423200 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 145520423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183633246720).

145520423200 is an abundant number, since it is smaller than the sum of its proper divisors (221746070240).

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

145520423200 is a wasteful number, since it uses less digits than its factorization.

145520423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8931 (or 8918 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 145520423200 its reverse (2324025541), we get a palindrome (147844448741).

The spelling of 145520423200 in words is "one hundred forty-five billion, five hundred twenty million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 155 160 200 248 310 400 496 620 719 775 800 992 1240 1438 1550 2480 2876 3100 3595 4960 5752 6200 7190 8161 11504 12400 14380 16322 17975 22289 23008 24800 28760 32644 35950 40805 44578 57520 65288 71900 81610 89156 111445 115040 130576 143800 163220 178312 204025 222890 252991 261152 287600 326440 356624 408050 445780 505982 557225 575200 652880 713248 816100 891560 1011964 1114450 1264955 1305760 1632200 1783120 2023928 2228900 2529910 3264400 3566240 4047856 4457800 5059820 5867759 6324775 6528800 8095712 8915600 10119640 11735518 12649550 17831200 20239280 23471036 25299100 29338795 40478560 46942072 50598200 58677590 93884144 101196400 117355180 146693975 181900529 187768288 202392800 234710360 293387950 363801058 469420720 586775900 727602116 909502645 938841440 1173551800 1455204232 1819005290 2347103600 2910408464 3638010580 4547513225 4694207200 5820816928 7276021160 9095026450 14552042320 18190052900 29104084640 36380105800 72760211600 145520423200