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43142201054004 = 223133761971206131
BaseRepresentation
bin10011100111100110100111…
…00100011001001100110100
312122202100120011120021222110
421303303103210121030310
521123320211432212004
6231431130433531020
712041630650236153
oct1163632344311464
9178670504507873
1043142201054004
1112823560864388
124a092b7a13a70
131b0c3a4999970
14a9214507359a
154ec36350b589
hex273cd3919334

43142201054004 has 96 divisors (see below), whose sum is σ = 111356629001856. Its totient is φ = 12913657597440.

The previous prime is 43142201053969. The next prime is 43142201054009. The reversal of 43142201054004 is 40045010224134.

43142201054004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×431422010540042 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43142201054009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35166019 + ... + 36372149.

It is an arithmetic number, because the mean of its divisors is an integer number (1159964885436).

Almost surely, 243142201054004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43142201054004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55678314500928).

43142201054004 is an abundant number, since it is smaller than the sum of its proper divisors (68214427947852).

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

43142201054004 is a wasteful number, since it uses less digits than its factorization.

43142201054004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212385 (or 1212383 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 43142201054004 its reverse (40045010224134), we get a palindrome (83187211278138).

The spelling of 43142201054004 in words is "forty-three trillion, one hundred forty-two billion, two hundred one million, fifty-four thousand, four".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 444 481 962 1443 1924 2886 5772 6197 12394 18591 24788 37182 74364 80561 161122 229289 241683 322244 458578 483366 687867 917156 966732 1206131 1375734 2412262 2751468 2980757 3618393 4824524 5961514 7236786 8942271 11923028 14473572 15679703 17884542 31359406 35769084 44626847 47039109 62718812 89253694 94078218 133880541 178507388 188156436 267761082 535522164 580149011 1160298022 1740447033 2320596044 3480894066 6961788132 7474393807 14948787614 22423181421 29897575228 44846362842 89692725684 97167119491 194334238982 276552570859 291501358473 388668477964 553105141718 583002716946 829657712577 1106210283436 1166005433892 1659315425154 3318630850308 3595183421167 7190366842334 10785550263501 14380733684668 21571100527002 43142201054004