Search a number
-
+
4472104741000 = 2353131811900597
BaseRepresentation
bin100000100010011111000…
…1101101110100010001000
3120211112021200001102122221
41001010332031232202020
51041232332303203000
613302242341023424
7641045632044661
oct101047615564210
916745250042587
104472104741000
1114746775a2106
126028829b4b74
1326594393c1a0
1411664587a368
157b4e2b6661a
hex4113e36e888

4472104741000 has 128 divisors (see below), whose sum is σ = 11331973467360. Its totient is φ = 1642114944000.

The previous prime is 4472104740979. The next prime is 4472104741007. The reversal of 4472104741000 is 1474012744.

It can be written as a sum of positive squares in 16 ways, for example, as 2092668919236 + 2379435821764 = 1446606^2 + 1542542^2 .

It is not an unprimeable number, because it can be changed into a prime (4472104741007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1402702 + ... + 3303298.

Almost surely, 24472104741000 is an apocalyptic number.

4472104741000 is a gapful number since it is divisible by the number (40) 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 4472104741000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5665986733680).

4472104741000 is an abundant number, since it is smaller than the sum of its proper divisors (6859868726360).

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

4472104741000 is a wasteful number, since it uses less digits than its factorization.

4472104741000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900812 (or 1900798 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 34.

Adding to 4472104741000 its reverse (1474012744), we get a palindrome (4473578753744).

The spelling of 4472104741000 in words is "four trillion, four hundred seventy-two billion, one hundred four million, seven hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 181 200 250 260 325 362 500 520 650 724 905 1000 1300 1448 1625 1810 2353 2600 3250 3620 4525 4706 6500 7240 9050 9412 11765 13000 18100 18824 22625 23530 36200 45250 47060 58825 90500 94120 117650 181000 235300 294125 470600 588250 1176500 1900597 2353000 3801194 7602388 9502985 15204776 19005970 24707761 38011940 47514925 49415522 76023880 95029850 98831044 123538805 190059700 197662088 237574625 247077610 344008057 380119400 475149250 494155220 617694025 688016114 950298500 988310440 1235388050 1376032228 1720040285 1900597000 2470776100 2752064456 3088470125 3440080570 4472104741 4941552200 6176940250 6880161140 8600201425 8944209482 12353880500 13760322280 17200402850 17888418964 22360523705 24707761000 34400805700 35776837928 43001007125 44721047410 68801611400 86002014250 89442094820 111802618525 172004028500 178884189640 223605237050 344008057000 447210474100 559013092625 894420948200 1118026185250 2236052370500 4472104741000