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2142450450 = 2325271935797
BaseRepresentation
bin111111110110011…
…0011001100010010
312112022101202111200
41333230303030102
513341431403300
6552332052030
7104043346140
oct17754631422
95468352450
102142450450
119aa3a2808
124b9604016
13281b31b7a
1416477a590
15c8150200
hex7fb33312

2142450450 has 144 divisors (see below), whose sum is σ = 6924765120. Its totient is φ = 463916160.

The previous prime is 2142450433. The next prime is 2142450467. The reversal of 2142450450 is 540542412.

It is an interprime number because it is at equal distance from previous prime (2142450433) and next prime (2142450467).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41952 + ... + 77748.

Almost surely, 22142450450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142450450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3462382560).

2142450450 is an abundant number, since it is smaller than the sum of its proper divisors (4782314670).

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

2142450450 is a wasteful number, since it uses less digits than its factorization.

2142450450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35841 (or 35833 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2142450450 is about 46286.6119952627. The cubic root of 2142450450 is about 1289.1504231158.

Adding to 2142450450 its reverse (540542412), we get a palindrome (2682992862).

It can be divided in two parts, 2142450 and 450, that multiplied together give a square (964102500 = 310502).

The spelling of 2142450450 in words is "two billion, one hundred forty-two million, four hundred fifty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 25 30 35 38 42 45 50 57 63 70 75 90 95 105 114 126 133 150 171 175 190 210 225 266 285 315 342 350 399 450 475 525 570 630 665 798 855 950 1050 1197 1330 1425 1575 1710 1995 2394 2850 3150 3325 3990 4275 5985 6650 8550 9975 11970 19950 29925 35797 59850 71594 107391 178985 214782 250579 322173 357970 501158 536955 644346 680143 751737 894925 1073910 1252895 1360286 1503474 1610865 1789850 2040429 2255211 2505790 2684775 3221730 3400715 3758685 4080858 4510422 4761001 5369550 6121287 6264475 6801430 7517370 8054325 9522002 10202145 11276055 12242574 12528950 14283003 16108650 17003575 18793425 20404290 22552110 23805005 28566006 30606435 34007150 37586850 42849009 47610010 51010725 56380275 61212870 71415015 85698018 102021450 112760550 119025025 142830030 153032175 214245045 238050050 306064350 357075075 428490090 714150150 1071225225 2142450450