Search a number
-
+
43130341044 = 223273152110597
BaseRepresentation
bin101000001010110001…
…001100011010110100
311010022211100100010200
4220022301030122310
51201312331403134
631451440520500
73054544564350
oct501261143264
9133284310120
1043130341044
1117322a5365a
128438320130
1340b477187b
142132222460
1511c6725499
hexa0ac4c6b4

43130341044 has 144 divisors (see below), whose sum is σ = 128877106176. Its totient is φ = 11901427200.

The previous prime is 43130341039. The next prime is 43130341061. The reversal of 43130341044 is 44014303134.

43130341044 is a `hidden beast` number, since 4 + 313 + 0 + 341 + 0 + 4 + 4 = 666.

It is a super-3 number, since 3×431303410443 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 43130340999 and 43130341017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4064754 + ... + 4075350.

It is an arithmetic number, because the mean of its divisors is an integer number (894979904).

Almost surely, 243130341044 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 43130341044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64438553088).

43130341044 is an abundant number, since it is smaller than the sum of its proper divisors (85746765132).

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

43130341044 is a wasteful number, since it uses less digits than its factorization.

43130341044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11166 (or 11161 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 43130341044 its reverse (44014303134), we get a palindrome (87144644178).

The spelling of 43130341044 in words is "forty-three billion, one hundred thirty million, three hundred forty-one thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 521 558 651 868 1042 1116 1302 1563 1953 2084 2604 3126 3647 3906 4689 6252 7294 7812 9378 10597 10941 14588 16151 18756 21194 21882 31791 32302 32823 42388 43764 48453 63582 64604 65646 74179 95373 96906 113057 127164 131292 145359 148358 190746 193812 222537 226114 290718 296716 328507 339171 381492 445074 452228 581436 657014 667611 678342 890148 985521 1017513 1314028 1335222 1356684 1971042 2035026 2299549 2670444 2956563 3942084 4070052 4599098 5521037 5913126 6898647 9198196 11042074 11826252 13797294 16563111 20695941 22084148 27594588 33126222 38647259 41391882 49689333 66252444 77294518 82783764 99378666 115941777 154589036 171152147 198757332 231883554 342304294 347825331 463767108 513456441 684608588 695650662 1026912882 1198065029 1391301324 1540369323 2053825764 2396130058 3080738646 3594195087 4792260116 6161477292 7188390174 10782585261 14376780348 21565170522 43130341044