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145418767340 = 225711149363247
BaseRepresentation
bin1000011101101110100…
…0100100101111101100
3111220100111001210002212
42013123220210233230
54340304201023330
6150445432505552
713335420061550
oct2073350445754
9456314053085
10145418767340
1156743115260
122422454b2b8
13109364034c2
14707717b860
153bb17e7295
hex21dba24bec

145418767340 has 96 divisors (see below), whose sum is σ = 380993808384. Its totient is φ = 45294255360.

The previous prime is 145418767301. The next prime is 145418767387. The reversal of 145418767340 is 43767814541.

It is a super-2 number, since 2×1454187673402 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2267597 + ... + 2330843.

It is an arithmetic number, because the mean of its divisors is an integer number (3968685504).

Almost surely, 2145418767340 is an apocalyptic number.

145418767340 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 145418767340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190496904192).

145418767340 is an abundant number, since it is smaller than the sum of its proper divisors (235575041044).

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

145418767340 is a wasteful number, since it uses less digits than its factorization.

145418767340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64767 (or 64765 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 50.

The spelling of 145418767340 in words is "one hundred forty-five billion, four hundred eighteen million, seven hundred sixty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1493 1540 2986 5972 7465 10451 14930 16423 20902 29860 32846 41804 52255 63247 65692 82115 104510 114961 126494 164230 209020 229922 252988 316235 328460 442729 459844 574805 632470 695717 885458 1149610 1264940 1391434 1770916 2213645 2299220 2782868 3478585 4427290 4870019 6957170 8854580 9740038 13914340 19480076 24350095 48700190 94427771 97400380 188855542 377711084 472138855 660994397 944277710 1038705481 1321988794 1888555420 2077410962 2643977588 3304971985 4154821924 5193527405 6609943970 7270938367 10387054810 13219887940 14541876734 20774109620 29083753468 36354691835 72709383670 145418767340