Search a number
-
+
4431201400440 = 2332583148299913
BaseRepresentation
bin100000001111011100000…
…1011110111011001111000
3120200121201001012102212200
41000132320023313121320
51040100100024303230
613231355452310200
7635100205303143
oct100367013673170
916617631172780
104431201400440
11145929773aa21
125b6968472360
13261b256938a9
1411468532305a
157a3ebbe3160
hex407b82f7678

4431201400440 has 96 divisors (see below), whose sum is σ = 14574915547920. Its totient is φ = 1167416907264.

The previous prime is 4431201400427. The next prime is 4431201400463. The reversal of 4431201400440 is 440041021344.

It is a super-2 number, since 2×44312014004402 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74120077 + ... + 74179836.

Almost surely, 24431201400440 is an apocalyptic number.

4431201400440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4431201400440 is an abundant number, since it is smaller than the sum of its proper divisors (10143714147480).

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

4431201400440 is a wasteful number, since it uses less digits than its factorization.

4431201400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148300013 (or 148300006 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4431201400440 its reverse (440041021344), we get a palindrome (4871242421784).

The spelling of 4431201400440 in words is "four trillion, four hundred thirty-one billion, two hundred one million, four hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 83 90 120 166 180 249 332 360 415 498 664 747 830 996 1245 1494 1660 1992 2490 2988 3320 3735 4980 5976 7470 9960 14940 29880 148299913 296599826 444899739 593199652 741499565 889799478 1186399304 1334699217 1482999130 1779598956 2224498695 2669398434 2965998260 3559197912 4448997390 5338796868 5931996520 6673496085 8897994780 10677593736 12308892779 13346992170 17795989560 24617785558 26693984340 36926678337 49235571116 53387968680 61544463895 73853356674 98471142232 110780035011 123088927790 147706713348 184633391685 221560070022 246177855580 295413426696 369266783370 443120140044 492355711160 553900175055 738533566740 886240280088 1107800350110 1477067133480 2215600700220 4431201400440