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154343102036240 = 245131225312111877
BaseRepresentation
bin100011000101111111001101…
…110001010011100100010000
3202020111001112011011211100102
4203011333031301103210100
5130212224133110124430
61304132124153311532
744336630644021325
oct4305771561234420
9666431464154312
10154343102036240
11451a65a6423987
12153888887055a8
1368176521045b0
142a18363032b4c
1512c9c41a7c345
hex8c5fcdc53910

154343102036240 has 80 divisors (see below), whose sum is σ = 386482953643248. Its totient is φ = 56983566624768.

The previous prime is 154343102036113. The next prime is 154343102036353. The reversal of 154343102036240 is 42630201343451.

It can be written as a sum of positive squares in 8 ways, for example, as 176907724816 + 154166194311424 = 420604^2 + 12416368^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 154343102036194 and 154343102036203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6687182 + ... + 18799058.

Almost surely, 2154343102036240 is an apocalyptic number.

154343102036240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

154343102036240 is an abundant number, since it is smaller than the sum of its proper divisors (232139851607008).

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

154343102036240 is a wasteful number, since it uses less digits than its factorization.

154343102036240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12124156 (or 12124150 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

Adding to 154343102036240 its reverse (42630201343451), we get a palindrome (196973303379691).

The spelling of 154343102036240 in words is "one hundred fifty-four trillion, three hundred forty-three billion, one hundred two million, thirty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 12253 24506 49012 61265 98024 122530 159289 196048 245060 318578 490120 637156 796445 980240 1274312 1592890 2548624 3185780 6371560 12111877 12743120 24223754 48447508 60559385 96895016 121118770 157454401 193790032 242237540 314908802 484475080 629817604 787272005 968950160 1259635208 1574544010 2519270416 3149088020 6298176040 12596352080 148406828881 296813657762 593627315524 742034144405 1187254631048 1484068288810 1929288775453 2374509262096 2968136577620 3858577550906 5936273155240 7717155101812 9646443877265 11872546310480 15434310203624 19292887754530 30868620407248 38585775509060 77171551018120 154343102036240