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41154341424 = 2437534495147
BaseRepresentation
bin100110010100111111…
…010110101000110000
310221020010011011020120
4212110333112220300
51133241002411144
630523412210240
72654562062460
oct462477265060
9127203134216
1041154341424
11164a9609919
127b86609980
133b5b27b721
141dc5a13ba0
15110d003e19
hex994fd6a30

41154341424 has 160 divisors (see below), whose sum is σ = 124095628800. Its totient is φ = 11508596736.

The previous prime is 41154341399. The next prime is 41154341429. The reversal of 41154341424 is 42414345114.

41154341424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (41154341429) 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, 7993219 + ... + 7998365.

It is an arithmetic number, because the mean of its divisors is an integer number (775597680).

Almost surely, 241154341424 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 41154341424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62047814400).

41154341424 is an abundant number, since it is smaller than the sum of its proper divisors (82941287376).

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

41154341424 is a wasteful number, since it uses less digits than its factorization.

41154341424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5667 (or 5661 counting only the distinct ones).

The product of its digits is 30720, while the sum is 33.

Adding to 41154341424 its reverse (42414345114), we get a palindrome (83568686538).

The spelling of 41154341424 in words is "forty-one billion, one hundred fifty-four million, three hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 318 336 371 424 449 636 742 848 898 1113 1272 1347 1484 1796 2226 2544 2694 2968 3143 3592 4452 5147 5388 5936 6286 7184 8904 9429 10294 10776 12572 15441 17808 18858 20588 21552 23797 25144 30882 36029 37716 41176 47594 50288 61764 71391 72058 75432 82352 95188 108087 123528 142782 144116 150864 166579 190376 216174 247056 272791 285564 288232 333158 380752 432348 499737 545582 571128 576464 666316 818373 864696 999474 1091164 1142256 1332632 1636746 1729392 1909537 1998948 2182328 2311003 2665264 3273492 3819074 3997896 4364656 4622006 5728611 6546984 6933009 7638148 7995792 9244012 11457222 13093968 13866018 15276296 16177021 18488024 22914444 27732036 30552592 32354042 36976048 45828888 48531063 55464072 64708084 91657776 97062126 110928144 122483159 129416168 194124252 244966318 258832336 367449477 388248504 489932636 734898954 776497008 857382113 979865272 1469797908 1714764226 1959730544 2572146339 2939595816 3429528452 5144292678 5879191632 6859056904 10288585356 13718113808 20577170712 41154341424