Search a number
-
+
144001245464166 = 233141937159712619
BaseRepresentation
bin100000101111011111100111…
…000101010100011001100110
3200212212101101101111101011210
4200233133213011110121212
5122333304022314323131
61230133131531412250
742221514050414106
oct4057374705243146
9625771341441153
10144001245464166
1141979648a61542
12141984a58b4086
13624734a55b27c
14277b9a9bd3206
15119ac099b3146
hex82f7e7154666

144001245464166 has 128 divisors (see below), whose sum is σ = 305084035952640. Its totient is φ = 45238740019200.

The previous prime is 144001245464149. The next prime is 144001245464171. The reversal of 144001245464166 is 661464542100441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11411456205 + ... + 11411468823.

It is an arithmetic number, because the mean of its divisors is an integer number (2383469030880).

Almost surely, 2144001245464166 is an apocalyptic number.

144001245464166 is an abundant number, since it is smaller than the sum of its proper divisors (161082790488474).

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

144001245464166 is a wasteful number, since it uses less digits than its factorization.

144001245464166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15230.

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 144001245464166 in words is "one hundred forty-four trillion, one billion, two hundred forty-five million, four hundred sixty-four thousand, one hundred sixty-six".

Divisors: 1 2 3 6 31 41 62 82 93 123 186 246 937 1271 1597 1874 2542 2811 3194 3813 4791 5622 7626 9582 12619 25238 29047 37857 38417 49507 58094 65477 75714 76834 87141 99014 115251 130954 148521 174282 196431 230502 297042 391189 392862 517379 782378 1034758 1173567 1190927 1496389 1552137 2029787 2347134 2381854 2992778 3104274 3572781 4059574 4489167 6089361 7145562 8978334 11824003 12178722 16038749 20152543 23648006 32077498 35472009 40305086 46388059 48116247 60457629 61351949 70944018 92776118 96232494 120915258 122703898 139164177 184055847 278328354 366544093 368111694 484784123 624728833 733088186 826254263 969568246 1099632279 1249457666 1454352369 1652508526 1874186499 1901910419 2199264558 2478762789 2908704738 3748372998 3803820838 4957525578 5705731257 11411462514 15028307813 18882932791 25613882153 30056615626 37765865582 45084923439 51227764306 56648798373 76841646459 90169846878 113297596746 153683292918 585370916521 774200244431 1170741833042 1548400488862 1756112749563 2322600733293 3512225499126 4645201466586 24000207577361 48000415154722 72000622732083 144001245464166