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4401401400 = 23325211222293
BaseRepresentation
bin1000001100101100…
…00000111000111000
3102100202000100122200
410012112000320320
533003224321100
62004425150200
7214033203024
oct40626007070
912322010580
104401401400
111959527020
12a2a02b360
13551b33b36
142da7a1384
151ab613e00
hex106580e38

4401401400 has 144 divisors (see below), whose sum is σ = 16125206760. Its totient is φ = 1067001600.

The previous prime is 4401401393. The next prime is 4401401413. The reversal of 4401401400 is 41041044.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 91347 + ... + 130946.

Almost surely, 24401401400 is an apocalyptic number.

4401401400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4401401400 is an abundant number, since it is smaller than the sum of its proper divisors (11723805360).

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

4401401400 is a wasteful number, since it uses less digits than its factorization.

4401401400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222326 (or 222314 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4401401400 is about 66343.0584160845. The cubic root of 4401401400 is about 1638.8164919513.

Adding to 4401401400 its reverse (41041044), we get a palindrome (4442442444).

The spelling of 4401401400 in words is "four billion, four hundred one million, four hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 19800 222293 444586 666879 889172 1111465 1333758 1778344 2000637 2222930 2445223 2667516 3334395 4001274 4445860 4890446 5335032 5557325 6668790 7335669 8002548 8891720 9780892 10003185 11114650 12226115 13337580 14671338 16005096 16671975 19561784 20006370 22007007 22229300 24452230 26675160 29342676 33343950 36678345 40012740 44014014 44458600 48904460 50015925 58685352 61130575 66687900 73356690 80025480 88028028 97808920 100031850 110035035 122261150 133375800 146713380 176056056 183391725 200063700 220070070 244522300 293426760 366783450 400127400 440140140 489044600 550175175 733566900 880280280 1100350350 1467133800 2200700700 4401401400