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145141794 = 2347149859
BaseRepresentation
bin10001010011010…
…11000000100010
3101010002222010000
420221223000202
5244124014134
622222520430
73411453630
oct1051530042
9333088100
10145141794
1174a241a6
1240736116
13240ba825
14153c2350
15cb1ee99
hex8a6b022

145141794 has 80 divisors (see below), whose sum is σ = 374616000. Its totient is φ = 41142816.

The previous prime is 145141793. The next prime is 145141807. The reversal of 145141794 is 497141541.

It is a super-2 number, since 2×1451417942 = 42132280731076872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145141793) 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, 168537 + ... + 169395.

It is an arithmetic number, because the mean of its divisors is an integer number (4682700).

Almost surely, 2145141794 is an apocalyptic number.

145141794 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145141794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187308000).

145141794 is an abundant number, since it is smaller than the sum of its proper divisors (229474206).

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

145141794 is a wasteful number, since it uses less digits than its factorization.

145141794 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1020 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 145141794 is about 12047.4808155066. The cubic root of 145141794 is about 525.5299791003.

The spelling of 145141794 in words is "one hundred forty-five million, one hundred forty-one thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 149 162 189 298 378 447 567 859 894 1043 1134 1341 1718 2086 2577 2682 3129 4023 5154 6013 6258 7731 8046 9387 12026 12069 15462 18039 18774 23193 24138 28161 36078 46386 54117 56322 69579 84483 108234 127991 139158 162351 168966 255982 324702 383973 487053 767946 895937 974106 1151919 1791874 2303838 2687811 3455757 5375622 6911514 8063433 10367271 16126866 20734542 24190299 48380598 72570897 145141794