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45355771101144 = 2337329189989323
BaseRepresentation
bin10100101000000001101101…
…00111111111111111011000
312221120222011200010122120110
422110000312213333333120
521421102104400214034
6240244053102124320
712360563201214000
oct1224006647777730
9187528150118513
1045355771101144
11134a7302400659
125106303b806a0
131c40052a6109a
14b2b333d5b000
15539c1ae62de9
hex2940369fffd8

45355771101144 has 128 divisors (see below), whose sum is σ = 136792313280000. Its totient is φ = 12511936789632.

The previous prime is 45355771101139. The next prime is 45355771101161. The reversal of 45355771101144 is 44110117755354.

It is a junction number, because it is equal to n+sod(n) for n = 45355771101093 and 45355771101102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94755934 + ... + 95233389.

It is an arithmetic number, because the mean of its divisors is an integer number (1068689947500).

Almost surely, 245355771101144 is an apocalyptic number.

It is an amenable number.

45355771101144 is an abundant number, since it is smaller than the sum of its proper divisors (91436542178856).

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

45355771101144 is a wasteful number, since it uses less digits than its factorization.

45355771101144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189989382 (or 189989364 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 48.

Adding to 45355771101144 its reverse (44110117755354), we get a palindrome (89465888856498).

The spelling of 45355771101144 in words is "forty-five trillion, three hundred fifty-five billion, seven hundred seventy-one million, one hundred one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 49 56 58 84 87 98 116 147 168 174 196 203 232 294 343 348 392 406 588 609 686 696 812 1029 1176 1218 1372 1421 1624 2058 2436 2744 2842 4116 4263 4872 5684 8232 8526 9947 11368 17052 19894 29841 34104 39788 59682 79576 119364 238728 189989323 379978646 569967969 759957292 1139935938 1329925261 1519914584 2279871876 2659850522 3989775783 4559743752 5319701044 5509690367 7979551566 9309476827 10639402088 11019380734 15959103132 16529071101 18618953654 22038761468 27928430481 31918206264 33058142202 37237907308 38567832569 44077522936 55856860962 65166337789 66116284404 74475814616 77135665138 111713721924 115703497707 130332675578 132232568808 154271330276 195499013367 223427443848 231406995414 260665351156 269974827983 308542660552 390998026734 462813990828 521330702312 539949655966 781996053468 809924483949 925627981656 1079899311932 1563992106936 1619848967898 1889823795881 2159798623864 3239697935796 3779647591762 5669471387643 6479395871592 7559295183524 11338942775286 15118590367048 22677885550572 45355771101144