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145278240784 = 24316710914007
BaseRepresentation
bin1000011101001101000…
…0100000100000010000
3111212222200122021220121
42013103100200200100
54340012212201114
6150423452520024
713332062446255
oct2072320404020
9455880567817
10145278240784
1156680863606
12241a5480014
13109132705b1
14706263b42c
153ba42d9a24
hex21d3420810

145278240784 has 80 divisors (see below), whose sum is σ = 295237103616. Its totient is φ = 69165993600.

The previous prime is 145278240769. The next prime is 145278240853. The reversal of 145278240784 is 487042872541.

It is a super-2 number, since 2×1452782407842 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36254109 + ... + 36258115.

Almost surely, 2145278240784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145278240784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147618551808).

145278240784 is an abundant number, since it is smaller than the sum of its proper divisors (149958862832).

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

145278240784 is a wasteful number, since it uses less digits than its factorization.

145278240784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5204 (or 5198 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 52.

The spelling of 145278240784 in words is "one hundred forty-five billion, two hundred seventy-eight million, two hundred forty thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 31 62 67 124 134 248 268 496 536 1072 1091 2077 2182 4007 4154 4364 8014 8308 8728 16028 16616 17456 32056 33232 33821 64112 67642 73097 124217 135284 146194 248434 268469 270568 292388 496868 536938 541136 584776 993736 1073876 1169552 1987472 2147752 2266007 4295504 4371637 4532014 8322539 8743274 9064028 16645078 17486548 18128056 33290156 34973096 36256112 66580312 69946192 133160624 135520747 271041494 292899679 542082988 585799358 1084165976 1171598716 2168331952 2343197432 4686394864 9079890049 18159780098 36319560196 72639120392 145278240784