Search a number
-
+
14150535551500 = 2253471171514219
BaseRepresentation
bin1100110111101010110110…
…1001010001101000001100
31212002210000011010022011211
43031322231221101220030
53323320244100122000
650032355530224204
72660225314415335
oct315725551215014
955083004108154
1014150535551500
114566232462587
121706575885064
137b850b45528a
1436cc64dcb28c
1519814ba197ba
hexcdeada51a0c

14150535551500 has 96 divisors (see below), whose sum is σ = 31589332669440. Its totient is φ = 5535042552000.

The previous prime is 14150535551497. The next prime is 14150535551539. The reversal of 14150535551500 is 515553505141.

14150535551500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 27261391 + ... + 27775609.

It is an arithmetic number, because the mean of its divisors is an integer number (329055548640).

Almost surely, 214150535551500 is an apocalyptic number.

14150535551500 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 14150535551500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15794666334720).

14150535551500 is an abundant number, since it is smaller than the sum of its proper divisors (17438797117940).

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

14150535551500 is a wasteful number, since it uses less digits than its factorization.

14150535551500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515456 (or 515444 counting only the distinct ones).

The product of its (nonzero) digits is 187500, while the sum is 40.

The spelling of 14150535551500 in words is "fourteen trillion, one hundred fifty billion, five hundred thirty-five million, five hundred fifty-one thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 125 188 235 250 470 500 940 1171 1175 2342 2350 4684 4700 5855 5875 11710 11750 23420 23500 29275 55037 58550 110074 117100 146375 220148 275185 292750 514219 550370 585500 1028438 1100740 1375925 2056876 2571095 2751850 5142190 5503700 6879625 10284380 12855475 13759250 24168293 25710950 27518500 48336586 51421900 64277375 96673172 120841465 128554750 241682930 257109500 483365860 602150449 604207325 1204300898 1208414650 2408601796 2416829300 3010752245 3021036625 6021504490 6042073250 12043008980 12084146500 15053761225 28301071103 30107522450 56602142206 60215044900 75268806125 113204284412 141505355515 150537612250 283010711030 301075224500 566021422060 707526777575 1415053555150 2830107110300 3537633887875 7075267775750 14150535551500