Search a number
-
+
155106500377440 = 25352139715102049
BaseRepresentation
bin100011010001000110001011…
…110110110111101101100000
3202100012000222200211122120110
4203101012023312313231200
5130312231103044034230
61305514535333211320
744446034446611003
oct4321061366675540
9670160880748513
10155106500377440
114547032a932687
1215490819190b40
1368716320934a1
142a432a228553a
1512dea218b34b0
hex8d118bdb7b60

155106500377440 has 96 divisors (see below), whose sum is σ = 488608342840800. Its totient is φ = 41359797633024.

The previous prime is 155106500377417. The next prime is 155106500377459. The reversal of 155106500377440 is 44773005601551.

155106500377440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 155106500377440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2719536 + ... + 17821584.

It is an arithmetic number, because the mean of its divisors is an integer number (5089670237925).

Almost surely, 2155106500377440 is an apocalyptic number.

155106500377440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

155106500377440 is an abundant number, since it is smaller than the sum of its proper divisors (333501842463360).

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

155106500377440 is a wasteful number, since it uses less digits than its factorization.

155106500377440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15123464 (or 15123456 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 48.

Adding to 155106500377440 its reverse (44773005601551), we get a palindrome (199879505978991).

The spelling of 155106500377440 in words is "one hundred fifty-five trillion, one hundred six billion, five hundred million, three hundred seventy-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 21397 42794 64191 85588 106985 128382 171176 213970 256764 320955 342352 427940 513528 641910 684704 855880 1027056 1283820 1711760 2054112 2567640 3423520 5135280 10270560 15102049 30204098 45306147 60408196 75510245 90612294 120816392 151020490 181224588 226530735 241632784 302040980 362449176 453061470 483265568 604081960 724898352 906122940 1208163920 1449796704 1812245880 2416327840 3624491760 7248983520 323138542453 646277084906 969415627359 1292554169812 1615692712265 1938831254718 2585108339624 3231385424530 3877662509436 4847078136795 5170216679248 6462770849060 7755325018872 9694156273590 10340433358496 12925541698120 15510650037744 19388312547180 25851083396240 31021300075488 38776625094360 51702166792480 77553250188720 155106500377440