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41443213440 = 2735191136053
BaseRepresentation
bin100110100110001101…
…010100000010000000
310221222020201101011010
4212212031110002000
51134333430312230
631012211520520
72665000334106
oct464615240200
9127866641133
1041443213440
1116637682722
1280472b9140
133ba6081405
14201212bc76
1511285659b0
hex9a6354080

41443213440 has 128 divisors (see below), whose sum is σ = 139053009600. Its totient is φ = 10469855232.

The previous prime is 41443213439. The next prime is 41443213447. The reversal of 41443213440 is 4431234414.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 41443213398 and 41443213407.

It is not an unprimeable number, because it can be changed into a prime (41443213447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531547 + ... + 604506.

Almost surely, 241443213440 is an apocalyptic number.

41443213440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41443213440 is an abundant number, since it is smaller than the sum of its proper divisors (97609796160).

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

41443213440 is a wasteful number, since it uses less digits than its factorization.

41443213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136094 (or 1136082 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 41443213440 its reverse (4431234414), we get a palindrome (45874447854).

The spelling of 41443213440 in words is "forty-one billion, four hundred forty-three million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 285 304 320 380 384 456 480 570 608 640 760 912 960 1140 1216 1520 1824 1920 2280 2432 3040 3648 4560 6080 7296 9120 12160 18240 36480 1136053 2272106 3408159 4544212 5680265 6816318 9088424 11360530 13632636 17040795 18176848 21585007 22721060 27265272 34081590 36353696 43170014 45442120 54530544 64755021 68163180 72707392 86340028 90884240 107925035 109061088 129510042 136326360 145414784 172680056 181768480 215850070 218122176 259020084 272652720 323775105 345360112 363536960 431700140 436244352 518040168 545305440 647550210 690720224 727073920 863400280 1036080336 1090610880 1295100420 1381440448 1726800560 2072160672 2181221760 2590200840 2762880896 3453601120 4144321344 5180401680 6907202240 8288642688 10360803360 13814404480 20721606720 41443213440