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145112455140 = 223523231147481
BaseRepresentation
bin1000011100100101100…
…0000101011111100100
3111212120010200111202120
42013021120011133210
54334142242031030
6150355211305540
713325010342222
oct2071130053744
9455503614676
10145112455140
11565a621a384
1224159a4b2b0
13108b7b05593
147048603b12
153b9498d010
hex21c96057e4

145112455140 has 144 divisors (see below), whose sum is σ = 438453367296. Its totient is φ = 35819942400.

The previous prime is 145112455133. The next prime is 145112455151. The reversal of 145112455140 is 41554211541.

It is an unprimeable number.

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, 910200 + ... + 1057680.

Almost surely, 2145112455140 is an apocalyptic number.

145112455140 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 145112455140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219226683648).

145112455140 is an abundant number, since it is smaller than the sum of its proper divisors (293340912156).

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

145112455140 is a wasteful number, since it uses less digits than its factorization.

145112455140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147570 (or 147545 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 33.

Adding to 145112455140 its reverse (41554211541), we get a palindrome (186666666681).

The spelling of 145112455140 in words is "one hundred forty-five billion, one hundred twelve million, four hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 31 46 60 62 69 92 93 115 124 138 155 186 230 276 310 345 372 460 465 529 620 690 713 930 1058 1380 1426 1587 1860 2116 2139 2645 2852 3174 3565 4278 5290 6348 7130 7935 8556 10580 10695 14260 15870 16399 21390 31740 32798 42780 49197 65596 81995 98394 147481 163990 196788 245985 294962 327980 442443 491970 589924 737405 884886 983940 1474810 1769772 2212215 2949620 3392063 4424430 4571911 6784126 8848860 9143822 10176189 13568252 13715733 16960315 18287644 20352378 22859555 27431466 33920630 40704756 45719110 50880945 54862932 67841260 68578665 78017449 91438220 101761890 105153953 137157330 156034898 203523780 210307906 234052347 274314660 312069796 315461859 390087245 420615812 468104694 525769765 630923718 780174490 936209388 1051539530 1170261735 1261847436 1560348980 1577309295 2103079060 2340523470 2418540919 3154618590 4681046940 4837081838 6309237180 7255622757 9674163676 12092704595 14511245514 24185409190 29022491028 36278113785 48370818380 72556227570 145112455140