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3314038202500 = 225423215832
BaseRepresentation
bin110000001110011100000…
…100011110000010000100
3102201211010000112212202011
4300032130010132002010
5413244122234440000
611014240444024004
7461300645635504
oct60163404360204
912654100485664
103314038202500
111068526194323
12456348832004
131b0687b54cbc
14b6586617a04
155b3145802ba
hex3039c11e084

3314038202500 has 135 divisors (see below), whose sum is σ = 7580720254723. Its totient is φ = 1267178836000.

The previous prime is 3314038202483. The next prime is 3314038202533. The reversal of 3314038202500 is 52028304133.

The square root of 3314038202500 is 1820450.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 259820595076 + 3054217607424 = 509726^2 + 1747632^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2093516709 + ... + 2093518291.

Almost surely, 23314038202500 is an apocalyptic number.

3314038202500 is the 1820450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3314038202500

3314038202500 is an abundant number, since it is smaller than the sum of its proper divisors (4266682052223).

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

3314038202500 is an frugal number, since it uses more digits than its factorization.

3314038202500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 3314038202500 in words is "three trillion, three hundred fourteen billion, thirty-eight million, two hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 125 230 250 460 500 529 575 625 1058 1150 1250 1583 2116 2300 2500 2645 2875 3166 5290 5750 6332 7915 10580 11500 13225 14375 15830 26450 28750 31660 36409 39575 52900 57500 66125 72818 79150 132250 145636 158300 182045 197875 264500 330625 364090 395750 661250 728180 791500 837407 910225 989375 1322500 1674814 1820450 1978750 2505889 3349628 3640900 3957500 4187035 4551125 5011778 8374070 9102250 10023556 12529445 16748140 18204500 20935175 22755625 25058890 41870350 45511250 50117780 57635447 62647225 83740700 91022500 104675875 115270894 125294450 209351750 230541788 250588900 288177235 313236125 418703500 523379375 576354470 626472250 1046758750 1152708940 1252944500 1325615281 1440886175 1566180625 2093517500 2651230562 2881772350 3132361250 5302461124 5763544700 6264722500 6628076405 7204430875 13256152810 14408861750 26512305620 28817723500 33140382025 36022154375 66280764050 72044308750 132561528100 144088617500 165701910125 331403820250 662807640500 828509550625 1657019101250 3314038202500