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145350023973570 = 232513177307693513
BaseRepresentation
bin100001000011000111110000…
…100011000000101011000010
3201001122022211002012211221100
4201003013300203000223002
5123022403322114123240
61233044513524035230
742421123043525253
oct4103076043005302
9631568732184840
10145350023973570
11423496652a1819
1214375984b32b16
1363145aa318210
1427c6d9b786b2a
1511c0d4ade9e30
hex8431f08c0ac2

145350023973570 has 96 divisors (see below), whose sum is σ = 430920071133552. Its totient is φ = 33673851703296.

The previous prime is 145350023973527. The next prime is 145350023973571. The reversal of 145350023973570 is 75379320053541.

It is a happy number.

145350023973570 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 50 + 0 + 239 + 7 + 357 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 16580931536961 + 128769092436609 = 4071969^2 + 11347647^2 .

It is a super-2 number, since 2×1453500239735702 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145350023973571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3653826867 + ... + 3653866646.

Almost surely, 2145350023973570 is an apocalyptic number.

145350023973570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145350023973570 is an abundant number, since it is smaller than the sum of its proper divisors (285570047159982).

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

145350023973570 is a wasteful number, since it uses less digits than its factorization.

145350023973570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7307693556 (or 7307693553 counting only the distinct ones).

The product of its (nonzero) digits is 11907000, while the sum is 54.

The spelling of 145350023973570 in words is "one hundred forty-five trillion, three hundred fifty billion, twenty-three million, nine hundred seventy-three thousand, five hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 65 78 85 90 102 117 130 153 170 195 221 234 255 306 390 442 510 585 663 765 1105 1170 1326 1530 1989 2210 3315 3978 6630 9945 19890 7307693513 14615387026 21923080539 36538467565 43846161078 65769241617 73076935130 95000015669 109615402695 124230789721 131538483234 190000031338 219230805390 248461579442 285000047007 328846208085 372692369163 475000078345 570000094014 621153948605 657692416170 745384738326 855000141021 950000156690 1118077107489 1242307897210 1425000235035 1615000266373 1710000282042 1863461845815 2236154214978 2850000470070 3230000532746 3726923691630 4275000705105 4845000799119 5590385537445 8075001331865 8550001410210 9690001598238 11180771074890 14535002397357 16150002663730 24225003995595 29070004794714 48450007991190 72675011986785 145350023973570