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4020430000120 = 2351797261723291
BaseRepresentation
bin111010100000010100010…
…011010100111111111000
3112020100102200100020110021
4322200110103110333320
51011332320040000440
612314543211500224
7563316001100512
oct72402423247770
915210380306407
104020430000120
111310066a17096
1254b229a57674
132321815b99c1
14dc838798bb2
156e8a986384a
hex3a8144d4ff8

4020430000120 has 128 divisors (see below), whose sum is σ = 9680939674560. Its totient is φ = 1497333104640.

The previous prime is 4020430000109. The next prime is 4020430000129. The reversal of 4020430000120 is 210000340204.

4020430000120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4020430000094 and 4020430000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4020430000129) 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, 172605675 + ... + 172628965.

Almost surely, 24020430000120 is an apocalyptic number.

4020430000120 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 4020430000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4840469837280).

4020430000120 is an abundant number, since it is smaller than the sum of its proper divisors (5660509674440).

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

4020430000120 is a wasteful number, since it uses less digits than its factorization.

4020430000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26033 (or 26029 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 4020430000120 its reverse (210000340204), we get a palindrome (4230430340324).

The spelling of 4020430000120 in words is "four trillion, twenty billion, four hundred thirty million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 97 136 170 194 340 388 485 680 776 970 1649 1940 2617 3298 3880 5234 6596 8245 10468 13085 13192 16490 20936 23291 26170 32980 44489 46582 52340 65960 88978 93164 104680 116455 177956 186328 222445 232910 253849 355912 395947 444890 465820 507698 791894 889780 931640 1015396 1269245 1583788 1779560 1979735 2030792 2259227 2538490 3167576 3959470 4315433 4518454 5076980 7918940 8630866 9036908 10153960 11296135 15837880 17261732 18073816 21577165 22592270 34523464 38406859 43154330 45184540 60952547 76813718 86308660 90369080 121905094 153627436 172617320 192034295 243810188 304762735 307254872 384068590 487620376 609525470 768137180 1036193299 1219050940 1536274360 2072386598 2438101880 4144773196 5180966495 5912397059 8289546392 10361932990 11824794118 20723865980 23649588236 29561985295 41447731960 47299176472 59123970590 100510750003 118247941180 201021500006 236495882360 402043000012 502553750015 804086000024 1005107500030 2010215000060 4020430000120