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41371406226432 = 2103210177441101
BaseRepresentation
bin10010110100000100001111…
…11110001101010000000000
312102111001211102200121102200
421122002013332031100000
520410312114443221212
6223553432303113200
711466662004452322
oct1132020776152000
9172431742617380
1041371406226432
11122005732a0037
1247820802a2800
131a113cb258099
14a3055b32d612
154bb2729276dc
hex25a087f8d400

41371406226432 has 132 divisors (see below), whose sum is σ = 119471046647316. Its totient is φ = 13789082419200.

The previous prime is 41371406226389. The next prime is 41371406226467. The reversal of 41371406226432 is 23462260417314.

41371406226432 is a `hidden beast` number, since 4 + 1 + 3 + 7 + 14 + 0 + 622 + 6 + 4 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22660037185536 + 18711369040896 = 4760256^2 + 4325664^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93570682 + ... + 94011782.

Almost surely, 241371406226432 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 41371406226432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59735523323658).

41371406226432 is an abundant number, since it is smaller than the sum of its proper divisors (78099640420884).

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

41371406226432 is a wasteful number, since it uses less digits than its factorization.

41371406226432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451304 (or 451283 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 41371406226432 in words is "forty-one trillion, three hundred seventy-one billion, four hundred six million, two hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 10177 20354 30531 40708 61062 81416 91593 122124 162832 183186 244248 325664 366372 441101 488496 651328 732744 882202 976992 1302656 1323303 1465488 1764404 1953984 2605312 2646606 2930976 3528808 3907968 3969909 5210624 5293212 5861952 7057616 7815936 7939818 10421248 10586424 11723904 14115232 15631872 15879636 21172848 23447808 28230464 31263744 31759272 42345696 46895616 56460928 63518544 84691392 93791232 112921856 127037088 169382784 225843712 254074176 338765568 451687424 508148352 677531136 1016296704 1355062272 2032593408 4065186816 4489084877 8978169754 13467254631 17956339508 26934509262 35912679016 40401763893 53869018524 71825358032 80803527786 107738037048 143650716064 161607055572 215476074096 287301432128 323214111144 430952148192 574602864256 646428222288 861904296384 1149205728512 1292856444576 1723808592768 2298411457024 2585712889152 3447617185536 4596822914048 5171425778304 6895234371072 10342851556608 13790468742144 20685703113216 41371406226432