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154636225121140 = 225712719891437243
BaseRepresentation
bin100011001010010000001101…
…010001001000101101110100
3202021112002010101222101001021
4203022100031101020231310
5130232024442112334030
61304514522350310524
744400045546104560
oct4312201521105564
9667462111871037
10154636225121140
11452a99447a5074
1215415652ab8444
136839197294369
142a2860cad86a0
1512d269a63697a
hex8ca40d448b74

154636225121140 has 96 divisors (see below), whose sum is σ = 374068860125184. Its totient is φ = 52597903962240.

The previous prime is 154636225121113. The next prime is 154636225121167. The reversal of 154636225121140 is 41121522636451.

It is an interprime number because it is at equal distance from previous prime (154636225121113) and next prime (154636225121167).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353443359 + ... + 353880601.

It is an arithmetic number, because the mean of its divisors is an integer number (3896550626304).

Almost surely, 2154636225121140 is an apocalyptic number.

154636225121140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154636225121140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187034430062592).

154636225121140 is an abundant number, since it is smaller than the sum of its proper divisors (219432635004044).

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

154636225121140 is a wasteful number, since it uses less digits than its factorization.

154636225121140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457277 (or 457275 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

Adding to 154636225121140 its reverse (41121522636451), we get a palindrome (195757747757591).

The spelling of 154636225121140 in words is "one hundred fifty-four trillion, six hundred thirty-six billion, two hundred twenty-five million, one hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 127 140 254 508 635 889 1270 1778 2540 3556 4445 8890 17780 19891 39782 79564 99455 139237 198910 278474 397820 437243 556948 696185 874486 1392370 1748972 2186215 2526157 2784740 3060701 4372430 5052314 6121402 8744860 10104628 12242804 12630785 15303505 17683099 25261570 30607010 35366198 50523140 55529861 61214020 70732396 88415495 111059722 176830990 222119444 277649305 353661980 388709027 555298610 777418054 1110597220 1554836108 1943545135 3887090270 7774180540 8697200513 17394401026 34788802052 43486002565 60880403591 86972005130 121760807182 173944010260 243521614364 304402017955 608804035910 1104544465151 1217608071820 2209088930302 4418177860604 5522722325755 7731811256057 11045444651510 15463622512114 22090889303020 30927245024228 38659056280285 77318112560570 154636225121140