Search a number
-
+
144143234402200 = 23521181637802573
BaseRepresentation
bin100000110001100011110110…
…010010001000011110011000
3200220100221212211201202222121
4200301203312102020132120
5122343120321001332300
61230322253203231024
742235001502443425
oct4061436622103630
9626327784652877
10144143234402200
1141a23891017220
12141bbb11678474
1362578581c3577
1427847d963ad4c
15119e76a10e81a
hex8318f6488798

144143234402200 has 96 divisors (see below), whose sum is σ = 365604592062960. Its totient is φ = 52415014233600.

The previous prime is 144143234402177. The next prime is 144143234402231. The reversal of 144143234402200 is 2204432341441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179200114 + ... + 180002686.

Almost surely, 2144143234402200 is an apocalyptic number.

144143234402200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144143234402200 is an abundant number, since it is smaller than the sum of its proper divisors (221461357660760).

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

144143234402200 is a wasteful number, since it uses less digits than its factorization.

144143234402200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884237 (or 884228 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 144143234402200 its reverse (2204432341441), we get a palindrome (146347666743641).

The spelling of 144143234402200 in words is "one hundred forty-four trillion, one hundred forty-three billion, two hundred thirty-four million, four hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 81637 163274 326548 408185 653096 802573 816370 898007 1605146 1632740 1796014 2040925 3210292 3265480 3592028 4012865 4081850 4490035 6420584 7184056 8025730 8163700 8828303 8980070 16051460 16327400 17656606 17960140 20064325 22450175 32102920 35313212 35920280 40128650 44141515 44900350 70626424 80257300 88283030 89800700 160514600 176566060 179601400 220707575 353132120 441415150 882830300 1765660600 65519652001 131039304002 262078608004 327598260005 524157216008 655196520010 720716172011 1310393040020 1441432344022 1637991300025 2620786080040 2882864688044 3275982600050 3603580860055 5765729376088 6551965200100 7207161720110 13103930400200 14414323440220 18017904300275 28828646880440 36035808600550 72071617201100 144143234402200