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145003066040 = 23571747896361
BaseRepresentation
bin1000011100001011011…
…0110011001010111000
3111212021111211222010102
42013002312303022320
54333431241103130
6150340302534532
713322211503450
oct2070266631270
9455244758112
10145003066040
115654a4a5768
1224129297448
131089b2552c1
147037c8ad60
153b8a081645
hex21c2db32b8

145003066040 has 128 divisors (see below), whose sum is σ = 394942780800. Its totient is φ = 46773780480.

The previous prime is 145003066001. The next prime is 145003066063. The reversal of 145003066040 is 40660300541.

It is a happy number.

It is a super-2 number, since 2×1450030660402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145003065994 and 145003066012.

It is a congruent number.

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, 22792460 + ... + 22798820.

It is an arithmetic number, because the mean of its divisors is an integer number (3085490475).

Almost surely, 2145003066040 is an apocalyptic number.

145003066040 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 145003066040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197471390400).

145003066040 is an abundant number, since it is smaller than the sum of its proper divisors (249939714760).

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

145003066040 is a wasteful number, since it uses less digits than its factorization.

145003066040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11185 (or 11181 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 145003066040 its reverse (40660300541), we get a palindrome (185663366581).

The spelling of 145003066040 in words is "one hundred forty-five billion, three million, sixty-six thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4760 4789 6361 9578 12722 19156 23945 25444 31805 33523 38312 44527 47890 50888 63610 67046 81413 89054 95780 108137 127220 134092 162826 167615 178108 191560 216274 222635 254440 268184 325652 335230 356216 407065 432548 445270 540685 569891 651304 670460 756959 814130 865096 890540 1081370 1139782 1340920 1513918 1628260 1781080 2162740 2279564 2849455 3027836 3256520 3784795 4325480 4559128 5698910 6055672 7569590 11397820 15139180 22795640 30278360 30462829 60925658 121851316 152314145 213239803 243702632 304628290 426479606 517868093 609256580 852959212 1035736186 1066199015 1218513160 1705918424 2071472372 2132398030 2589340465 3625076651 4142944744 4264796060 5178680930 7250153302 8529592120 10357361860 14500306604 18125383255 20714723720 29000613208 36250766510 72501533020 145003066040