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3142303120 = 2451117297243
BaseRepresentation
bin1011101101001011…
…1011110110010000
322002222210112112001
42323102323312100
522413412144440
61235450243344
7140604064405
oct27322736620
98088715461
103142303120
111372825930
12738426554
133b1019c78
1421b48a2ac
15135d02b9a
hexbb4bbd90

3142303120 has 160 divisors (see below), whose sum is σ = 8731048320. Its totient is φ = 1038213120.

The previous prime is 3142303117. The next prime is 3142303139. The reversal of 3142303120 is 213032413.

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, 430219 + ... + 437461.

It is an arithmetic number, because the mean of its divisors is an integer number (54569052).

Almost surely, 23142303120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3142303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4365524160).

3142303120 is an abundant number, since it is smaller than the sum of its proper divisors (5588745200).

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

3142303120 is a wasteful number, since it uses less digits than its factorization.

3142303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7313 (or 7307 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 3142303120 is about 56056.2496069796. The cubic root of 3142303120 is about 1464.7022843174.

Adding to 3142303120 its reverse (213032413), we get a palindrome (3355335533).

The spelling of 3142303120 in words is "three billion, one hundred forty-two million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 29 34 40 44 55 58 68 80 85 88 110 116 136 145 170 176 187 220 232 272 290 319 340 374 440 464 493 580 638 680 748 880 935 986 1160 1276 1360 1496 1595 1870 1972 2320 2465 2552 2992 3190 3740 3944 4930 5104 5423 6380 7243 7480 7888 9860 10846 12760 14486 14960 19720 21692 25520 27115 28972 36215 39440 43384 54230 57944 72430 79673 86768 108460 115888 123131 144860 159346 210047 216920 246262 289720 318692 398365 420094 433840 492524 579440 615655 637384 796730 840188 985048 1050235 1231310 1274768 1354441 1593460 1680376 1970096 2100470 2310517 2462620 2708882 3186920 3360752 3570799 4200940 4621034 4925240 5417764 6373840 6772205 7141598 8401880 9242068 9850480 10835528 11552585 13544410 14283196 16803760 17853995 18484136 21671056 23105170 27088820 28566392 35707990 36968272 39278789 46210340 54177640 57132784 71415980 78557578 92420680 108355280 142831960 157115156 184841360 196393945 285663920 314230312 392787890 628460624 785575780 1571151560 3142303120