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5540214204 = 2232734091097
BaseRepresentation
bin1010010100011100…
…01111010110111100
3112022002220001010200
411022032033112330
542321243323304
62313430003500
7254202021000
oct51216172674
915262801120
105540214204
112393340a28
1210a74a6590
136a3a53b75
143a7b24700
152265b4e39
hex14a38f5bc

5540214204 has 144 divisors (see below), whose sum is σ = 16386552000. Its totient is φ = 1577608704.

The previous prime is 5540214181. The next prime is 5540214209. The reversal of 5540214204 is 4024120455.

5540214204 is a `hidden beast` number, since 55 + 402 + 1 + 4 + 204 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5540214209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5049784 + ... + 5050880.

It is an arithmetic number, because the mean of its divisors is an integer number (113795500).

Almost surely, 25540214204 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 5540214204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8193276000).

5540214204 is an abundant number, since it is smaller than the sum of its proper divisors (10846337796).

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

5540214204 is a wasteful number, since it uses less digits than its factorization.

5540214204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 5540214204 is about 74432.6151898481. The cubic root of 5540214204 is about 1769.4658505034.

Adding to 5540214204 its reverse (4024120455), we get a palindrome (9564334659).

The spelling of 5540214204 in words is "five billion, five hundred forty million, two hundred fourteen thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 409 441 588 686 818 882 1029 1097 1227 1372 1636 1764 2058 2194 2454 2863 3087 3291 3681 4116 4388 4908 5726 6174 6582 7362 7679 8589 9873 11452 12348 13164 14724 15358 17178 19746 20041 23037 25767 30716 34356 39492 40082 46074 51534 53753 60123 69111 80164 92148 103068 107506 120246 138222 140287 161259 180369 215012 240492 276444 280574 322518 360738 376271 420861 448673 483777 561148 645036 721476 752542 841722 897346 967554 1128813 1262583 1346019 1505084 1683444 1794692 1935108 2257626 2525166 2692038 3140711 3386439 4038057 4515252 5050332 5384076 6281422 6772878 8076114 9422133 12562844 13545756 16152228 18844266 21984977 28266399 37688532 43969954 56532798 65954931 87939908 113065596 131909862 153894839 197864793 263819724 307789678 395729586 461684517 615579356 791459172 923369034 1385053551 1846738068 2770107102 5540214204