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145851288390 = 2345197914027
BaseRepresentation
bin1000011111010101101…
…0100000101101000110
3111221110121221010110000
42013311122200231012
54342200412212030
6151000403142130
713352221332063
oct2076532405506
9457417833400
10145851288390
1156945282775
1224325374946
13109a4bc0412
1470b87a9c6a
153bd9781860
hex21f56a0b46

145851288390 has 80 divisors (see below), whose sum is σ = 394169090832. Its totient is φ = 38696204736.

The previous prime is 145851288383. The next prime is 145851288391. The reversal of 145851288390 is 93882158541.

145851288390 is a `hidden beast` number, since 1 + 4 + 585 + 1 + 28 + 8 + 39 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145851288391) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 297444 + ... + 616583.

Almost surely, 2145851288390 is an apocalyptic number.

145851288390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145851288390 is an abundant number, since it is smaller than the sum of its proper divisors (248317802442).

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

145851288390 is a wasteful number, since it uses less digits than its factorization.

145851288390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914243 (or 914234 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 145851288390 in words is "one hundred forty-five billion, eight hundred fifty-one million, two hundred eighty-eight thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 197 270 394 405 591 810 985 1182 1773 1970 2955 3546 5319 5910 8865 10638 15957 17730 26595 31914 53190 79785 159570 914027 1828054 2742081 4570135 5484162 8226243 9140270 13710405 16452486 24678729 27420810 41131215 49357458 74036187 82262430 123393645 148072374 180063319 246787290 360126638 370180935 540189957 740361870 900316595 1080379914 1620569871 1800633190 2700949785 3241139742 4861709613 5401899570 8102849355 9723419226 14585128839 16205698710 24308548065 29170257678 48617096130 72925644195 145851288390