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145301440 = 265479661
BaseRepresentation
bin10001010100100…
…01111111000000
3101010102002002211
420222101333000
5244144121230
622230151504
73413020234
oct1052217700
9333362084
10145301440
1175023139
12407b2594
13241453ab
14154245c4
15cb5242a
hex8a91fc0

145301440 has 56 divisors (see below), whose sum is σ = 353397312. Its totient is φ = 56878080.

The previous prime is 145301437. The next prime is 145301501. The reversal of 145301440 is 44103541.

It is a super-2 number, since 2×1453014402 = 42225016932147200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10210 + ... + 19870.

Almost surely, 2145301440 is an apocalyptic number.

145301440 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 145301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176698656).

145301440 is an abundant number, since it is smaller than the sum of its proper divisors (208095872).

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

145301440 is an equidigital number, since it uses as much as digits as its factorization.

145301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9725 (or 9715 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 145301440 is about 12054.1046950821. The cubic root of 145301440 is about 525.7225907861.

Adding to 145301440 its reverse (44103541), we get a palindrome (189404981).

The spelling of 145301440 in words is "one hundred forty-five million, three hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 160 188 235 320 376 470 752 940 1504 1880 3008 3760 7520 9661 15040 19322 38644 48305 77288 96610 154576 193220 309152 386440 454067 618304 772880 908134 1545760 1816268 2270335 3091520 3632536 4540670 7265072 9081340 14530144 18162680 29060288 36325360 72650720 145301440