Search a number
-
+
14601161201520 = 2435149408309877
BaseRepresentation
bin1101010001111001100100…
…0001101101011101110000
31220200212011000210011021110
43110132121001231131300
53403211134231422040
651015403021553320
73034620246301545
oct324363101553560
956625130704243
1014601161201520
11471a354935063
121779977415840
1381bb6433cc3a
143869b2a22bcc
151a4c22b90980
hexd479906d770

14601161201520 has 80 divisors (see below), whose sum is σ = 45567382384800. Its totient is φ = 3867511145472.

The previous prime is 14601161201513. The next prime is 14601161201567. The reversal of 14601161201520 is 2510216110641.

14601161201520 is digitally balanced in base 2, because in such base 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 204119179 + ... + 204190698.

It is an arithmetic number, because the mean of its divisors is an integer number (569592279810).

Almost surely, 214601161201520 is an apocalyptic number.

14601161201520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14601161201520 is an abundant number, since it is smaller than the sum of its proper divisors (30966221183280).

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

14601161201520 is a wasteful number, since it uses less digits than its factorization.

14601161201520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408310042 (or 408310036 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 14601161201520 in words is "fourteen trillion, six hundred one billion, one hundred sixty-one million, two hundred one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 149 240 298 447 596 745 894 1192 1490 1788 2235 2384 2980 3576 4470 5960 7152 8940 11920 17880 35760 408309877 816619754 1224929631 1633239508 2041549385 2449859262 3266479016 4083098770 4899718524 6124648155 6532958032 8166197540 9799437048 12249296310 16332395080 19598874096 24498592620 32664790160 48997185240 60838171673 97994370480 121676343346 182514515019 243352686692 304190858365 365029030038 486705373384 608381716730 730058060076 912572575095 973410746768 1216763433460 1460116120152 1825145150190 2433526866920 2920232240304 3650290300380 4867053733840 7300580600760 14601161201520