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15152143440 = 2435712896997
BaseRepresentation
bin11100001110010001…
…10101110001010000
31110002222102122020210
432013020311301100
5222012422042230
610543311004120
71044325044210
oct160710656120
943088378223
1015152143440
116475a986a5
122b2a509640
131576218765
14a3a50a240
155da368eb0
hex387235c50

15152143440 has 160 divisors (see below), whose sum is σ = 53731203840. Its totient is φ = 3460165632.

The previous prime is 15152143439. The next prime is 15152143463. The reversal of 15152143440 is 4434125151.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 15152143398 and 15152143407.

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, 2162022 + ... + 2169018.

It is an arithmetic number, because the mean of its divisors is an integer number (335820024).

Almost surely, 215152143440 is an apocalyptic number.

15152143440 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 15152143440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26865601920).

15152143440 is an abundant number, since it is smaller than the sum of its proper divisors (38579060400).

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

15152143440 is a wasteful number, since it uses less digits than its factorization.

15152143440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8309 (or 8303 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 15152143440 its reverse (4434125151), we get a palindrome (19586268591).

The spelling of 15152143440 in words is "fifteen billion, one hundred fifty-two million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1289 1680 2578 3867 5156 6445 6997 7734 9023 10312 12890 13994 15468 18046 19335 20624 20991 25780 27069 27988 30936 34985 36092 38670 41982 45115 48979 51560 54138 55976 61872 69970 72184 77340 83964 90230 97958 103120 104955 108276 111952 135345 139940 144368 146937 154680 167928 180460 195916 209910 216552 244895 270690 279880 293874 309360 335856 360920 391832 419820 433104 489790 541380 559760 587748 721840 734685 783664 839640 979580 1082760 1175496 1469370 1679280 1959160 2165520 2350992 2938740 3918320 5877480 9019133 11754960 18038266 27057399 36076532 45095665 54114798 63133931 72153064 90191330 108229596 126267862 135286995 144306128 180382660 189401793 216459192 252535724 270573990 315669655 360765320 378803586 432918384 505071448 541147980 631339310 721530640 757607172 947008965 1010142896 1082295960 1262678620 1515214344 1894017930 2164591920 2525357240 3030428688 3788035860 5050714480 7576071720 15152143440