Search a number
-
+
142301341414240 = 2551953883200977
BaseRepresentation
bin100000010110110000011100…
…111001111111001101100000
3200122211212122011010022201021
4200112300130321333031200
5122122431121400223430
61222352200032215224
741654634616405261
oct4026603471771540
9618755564108637
10142301341414240
1141383729492738
1213b62b5339a514
136152c6097bab8
14271d5c9100968
15116b8b77e907a
hex816c1ce7f360

142301341414240 has 96 divisors (see below), whose sum is σ = 360557967258720. Its totient is φ = 52907271266304.

The previous prime is 142301341414237. The next prime is 142301341414291. The reversal of 142301341414240 is 42414143103241.

It is a junction number, because it is equal to n+sod(n) for n = 142301341414196 and 142301341414205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441439369 + ... + 441761608.

It is an arithmetic number, because the mean of its divisors is an integer number (3755812158945).

Almost surely, 2142301341414240 is an apocalyptic number.

142301341414240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142301341414240 is an abundant number, since it is smaller than the sum of its proper divisors (218256625844480).

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

142301341414240 is a wasteful number, since it uses less digits than its factorization.

142301341414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883201064 (or 883201056 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 142301341414240 its reverse (42414143103241), we get a palindrome (184715484517481).

The spelling of 142301341414240 in words is "one hundred forty-two trillion, three hundred one billion, three hundred forty-one million, four hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 53 76 80 95 106 152 160 190 212 265 304 380 424 530 608 760 848 1007 1060 1520 1696 2014 2120 3040 4028 4240 5035 8056 8480 10070 16112 20140 32224 40280 80560 161120 883200977 1766401954 3532803908 4416004885 7065607816 8832009770 14131215632 16780818563 17664019540 28262431264 33561637126 35328039080 46809651781 67123274252 70656078160 83904092815 93619303562 134246548504 141312156320 167808185630 187238607124 234048258905 268493097008 335616371260 374477214248 468096517810 536986194016 671232742520 748954428496 889383383839 936193035620 1342465485040 1497908856992 1778766767678 1872386071240 2684930970080 3557533535356 3744772142480 4446916919195 7115067070712 7489544284960 8893833838390 14230134141424 17787667676780 28460268282848 35575335353560 71150670707120 142301341414240