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4153140054 = 234729472687
BaseRepresentation
bin1111011110001011…
…1110001101010110
3101201102212101010000
43313202332031112
532001200440204
61524040112130
7204630052020
oct36742761526
911642771100
104153140054
111841380658
1297aa65646
1351257c92b
142b5819010
15194925039
hexf78be356

4153140054 has 160 divisors (see below), whose sum is σ = 11240570880. Its totient is φ = 1120900032.

The previous prime is 4153140053. The next prime is 4153140077. The reversal of 4153140054 is 4500413514.

It is a happy number.

4153140054 is a `hidden beast` number, since 41 + 531 + 40 + 0 + 54 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4153140053) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1544299 + ... + 1546985.

It is an arithmetic number, because the mean of its divisors is an integer number (70253568).

Almost surely, 24153140054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4153140054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5620285440).

4153140054 is an abundant number, since it is smaller than the sum of its proper divisors (7087430826).

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

4153140054 is a wasteful number, since it uses less digits than its factorization.

4153140054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4153140054 is about 64444.8605708787. The cubic root of 4153140054 is about 1607.4057798264.

Adding to 4153140054 its reverse (4500413514), we get a palindrome (8653553568).

The spelling of 4153140054 in words is "four billion, one hundred fifty-three million, one hundred forty thousand, fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 47 54 58 63 81 87 94 126 141 162 174 189 203 261 282 329 378 406 423 522 567 609 658 783 846 987 1134 1218 1269 1363 1566 1827 1974 2349 2538 2687 2726 2961 3654 3807 4089 4698 5374 5481 5922 7614 8061 8178 8883 9541 10962 12267 16122 16443 17766 18809 19082 24183 24534 26649 28623 32886 36801 37618 48366 53298 56427 57246 72549 73602 77923 85869 110403 112854 126289 145098 155846 169281 171738 217647 220806 233769 252578 257607 338562 378867 435294 467538 507843 515214 545461 701307 757734 772821 884023 1015686 1090922 1136601 1402614 1523529 1545642 1636383 1768046 2103921 2273202 2652069 3047058 3272766 3409803 3662381 4207842 4909149 5304138 6311763 6819606 7324762 7956207 9818298 10229409 10987143 12623526 14727447 15912414 20458818 21974286 23868621 25636667 29454894 32961429 44182341 47737242 51273334 65922858 71605863 76910001 88364682 98884287 143211726 153820002 197768574 230730003 296652861 461460006 593305722 692190009 1384380018 2076570027 4153140054