Search a number
-
+
141430041440300 = 225229316723480491
BaseRepresentation
bin100000001010000100111111…
…011000010111000000101100
3200112202120122202111121212002
4200022010333120113000230
5122014142211102042200
61220444021502031432
741534661162002144
oct4012047730270054
9615676582447762
10141430041440300
1141078164357248
1213a4210a878578
1360bba4615b942
1426cd37164b924
151153dbec0dbd5
hex80a13f61702c

141430041440300 has 144 divisors (see below), whose sum is σ = 332619014353920. Its totient is φ = 52070334624000.

The previous prime is 141430041440297. The next prime is 141430041440327. The reversal of 141430041440300 is 3044140034141.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5716946 + ... + 17763545.

Almost surely, 2141430041440300 is an apocalyptic number.

141430041440300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141430041440300 is an abundant number, since it is smaller than the sum of its proper divisors (191188972913620).

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

141430041440300 is a wasteful number, since it uses less digits than its factorization.

141430041440300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23480632 (or 23480625 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 141430041440300 its reverse (3044140034141), we get a palindrome (144474181474441).

The spelling of 141430041440300 in words is "one hundred forty-one trillion, four hundred thirty billion, forty-one million, four hundred forty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 31 50 58 62 67 100 116 124 134 145 155 268 290 310 335 580 620 670 725 775 899 1340 1450 1550 1675 1798 1943 2077 2900 3100 3350 3596 3886 4154 4495 6700 7772 8308 8990 9715 10385 17980 19430 20770 22475 38860 41540 44950 48575 51925 60233 89900 97150 103850 120466 194300 207700 240932 301165 602330 1204660 1505825 3011650 6023300 23480491 46960982 93921964 117402455 234804910 469609820 587012275 680934239 727895221 1174024550 1361868478 1455790442 1573192897 2348049100 2723736956 2911580884 3146385794 3404671195 3639476105 6292771588 6809342390 7278952210 7865964485 13618684780 14557904420 15731928970 17023355975 18197380525 21108961409 31463857940 34046711950 36394761050 39329822425 42217922818 45622594013 48768979807 68093423900 72789522100 78659644850 84435845636 91245188026 97537959614 105544807045 157319289700 182490376052 195075919228 211089614090 228112970065 243844899035 422179228180 456225940130 487689798070 527724035225 912451880260 975379596140 1055448070450 1140564850325 1219224495175 1414300414403 2110896140900 2281129700650 2438448990350 2828600828806 4562259401300 4876897980700 5657201657612 7071502072015 14143004144030 28286008288060 35357510360075 70715020720150 141430041440300