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43334004054 = 231117532712689
BaseRepresentation
bin101000010110111010…
…000110110101010110
311010212000120111021010
4220112322012311112
51202222001112204
631523554033050
73062566646145
oct502672066526
9133760514233
1043334004054
1117417a086a0
128494578786
134117a0c223
1421512b975c
1511d9554d89
hexa16e86d56

43334004054 has 128 divisors (see below), whose sum is σ = 102411786240. Its totient is φ = 12076646400.

The previous prime is 43334004053. The next prime is 43334004067. The reversal of 43334004054 is 45040043334.

43334004054 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43334004053) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16113942 + ... + 16116630.

It is an arithmetic number, because the mean of its divisors is an integer number (800092080).

Almost surely, 243334004054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43334004054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51205893120).

43334004054 is an abundant number, since it is smaller than the sum of its proper divisors (59077782186).

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

43334004054 is a wasteful number, since it uses less digits than its factorization.

43334004054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3046.

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 43334004054 its reverse (45040043334), we get a palindrome (88374047388).

The spelling of 43334004054 in words is "forty-three billion, three hundred thirty-four million, four thousand, fifty-four".

Divisors: 1 2 3 6 11 17 22 33 34 51 53 66 102 106 159 187 271 318 374 542 561 583 813 901 1122 1166 1626 1749 1802 2689 2703 2981 3498 4607 5378 5406 5962 8067 8943 9214 9911 13821 14363 16134 17886 19822 27642 28726 29579 29733 43089 45713 50677 59158 59466 86178 88737 91426 101354 137139 142517 152031 157993 177474 244171 274278 285034 304062 315986 427551 473979 488342 502843 728719 732513 855102 947958 1005686 1457438 1465026 1508529 1567687 2186157 2422789 2685881 3017058 3135374 4372314 4703061 4845578 5371762 7268367 8015909 8057643 9406122 12388223 14536734 16031818 16115286 24047727 24776446 26650679 37164669 38622107 48095454 53301358 74329338 77244214 79952037 115866321 136270453 159904074 231732642 272540906 408811359 424843177 656575819 817622718 849686354 1274529531 1313151638 1969727457 2549059062 3939454914 7222334009 14444668018 21667002027 43334004054