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145217043630 = 232510358726687
BaseRepresentation
bin1000011100111110011…
…1000011110010101110
3111212211102111011012100
42013033213003302232
54334401030344010
6150413425115530
713330420335021
oct2071747036256
9455742434170
10145217043630
115664a26524a
1224188a88ba6
1310903694769
14705846b1b8
153b9dc4c2c0
hex21cf9c3cae

145217043630 has 96 divisors (see below), whose sum is σ = 381893750784. Its totient is φ = 38281814208.

The previous prime is 145217043623. The next prime is 145217043637. The reversal of 145217043630 is 36340712541.

145217043630 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 17 + 0 + 4 + 3 + 630 = 666.

It is an interprime number because it is at equal distance from previous prime (145217043623) and next prime (145217043637).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145217043637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5428147 + ... + 5454833.

It is an arithmetic number, because the mean of its divisors is an integer number (3978059904).

Almost surely, 2145217043630 is an apocalyptic number.

145217043630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145217043630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190946875392).

145217043630 is an abundant number, since it is smaller than the sum of its proper divisors (236676707154).

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

145217043630 is a wasteful number, since it uses less digits than its factorization.

145217043630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27390 (or 27387 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 145217043630 in words is "one hundred forty-five billion, two hundred seventeen million, forty-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 206 309 515 587 618 927 1030 1174 1545 1761 1854 2935 3090 3522 4635 5283 5870 8805 9270 10566 17610 26415 26687 52830 53374 60461 80061 120922 133435 160122 181383 240183 266870 302305 362766 400305 480366 544149 604610 800610 906915 1088298 1200915 1813830 2401830 2720745 2748761 5441490 5497522 8246283 13743805 15665269 16492566 24738849 27487610 31330538 41231415 46995807 49477698 78326345 82462830 93991614 123694245 140987421 156652690 234979035 247388490 281974842 469958070 704937105 1409874210 1613522707 3227045414 4840568121 8067613535 9681136242 14521704363 16135227070 24202840605 29043408726 48405681210 72608521815 145217043630