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4342523411440 = 2451940113735189
BaseRepresentation
bin111111001100010010100…
…100001011101111110000
3120101010210220220211220201
4333030102210023233300
51032121441443131230
613122532215244544
7625510530653104
oct77142244135760
916333726824821
104342523411440
111424721290305
125a173a379754
13256662715156
14110271c35904
1577e5b9535ca
hex3f31290bbf0

4342523411440 has 160 divisors (see below), whose sum is σ = 10664072366400. Its totient is φ = 1639972454400.

The previous prime is 4342523411423. The next prime is 4342523411467. The reversal of 4342523411440 is 441143252434.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4342523411440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 836868366 + ... + 836873554.

It is an arithmetic number, because the mean of its divisors is an integer number (66650452290).

Almost surely, 24342523411440 is an apocalyptic number.

4342523411440 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 4342523411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5332036183200).

4342523411440 is an abundant number, since it is smaller than the sum of its proper divisors (6321548954960).

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

4342523411440 is a wasteful number, since it uses less digits than its factorization.

4342523411440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6995 (or 6989 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 37.

Adding to 4342523411440 its reverse (441143252434), we get a palindrome (4783666663874).

The spelling of 4342523411440 in words is "four trillion, three hundred forty-two billion, five hundred twenty-three million, four hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 401 760 802 1373 1520 1604 2005 2746 3208 4010 5189 5492 6416 6865 7619 8020 10378 10984 13730 15238 16040 20756 21968 25945 26087 27460 30476 32080 38095 41512 51890 52174 54920 60952 76190 83024 98591 103780 104348 109840 121904 130435 152380 197182 207560 208696 260870 304760 394364 415120 417392 492955 521740 550573 609520 788728 985910 1043480 1101146 1577456 1971820 2080789 2086960 2202292 2752865 3943640 4161578 4404584 5505730 7124497 7887280 8323156 8809168 10403945 10460887 11011460 14248994 16646312 20807890 20921774 22022920 28497988 33292624 35622485 39534991 41615780 41843548 44045840 52304435 56995976 71244970 79069982 83231560 83687096 104608870 113991952 135365443 142489940 158139964 166463120 167374192 197674955 209217740 270730886 284979880 316279928 395349910 418435480 541461772 569959760 632559856 676827215 790699820 836870960 1082923544 1353654430 1581399640 2165847088 2707308860 2856923297 3162799280 5414617720 5713846594 10829235440 11427693188 14284616485 22855386376 28569232970 45710772752 54281542643 57138465940 108563085286 114276931880 217126170572 228553863760 271407713215 434252341144 542815426430 868504682288 1085630852860 2171261705720 4342523411440