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142211140240 = 245131091379157
BaseRepresentation
bin1000010001110001110…
…0011100101010010000
3111121001221100102221011
42010130130130222100
54312222022441430
6145155250140304
713163060514211
oct2043434345220
9447057312834
10142211140240
1155347532574
122368a281694
13105449c41c0
146c51169408
153a74dde22a
hex211c71ca90

142211140240 has 160 divisors (see below), whose sum is σ = 362004017760. Its totient is φ = 51641597952.

The previous prime is 142211140199. The next prime is 142211140243. The reversal of 142211140240 is 42041112241.

It can be written as a sum of positive squares in 16 ways, for example, as 61927317904 + 80283822336 = 248852^2 + 283344^2 .

It is not an unprimeable number, because it can be changed into a prime (142211140243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15525742 + ... + 15534898.

It is an arithmetic number, because the mean of its divisors is an integer number (2262525111).

Almost surely, 2142211140240 is an apocalyptic number.

142211140240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142211140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181002008880).

142211140240 is an abundant number, since it is smaller than the sum of its proper divisors (219792877520).

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

142211140240 is a wasteful number, since it uses less digits than its factorization.

142211140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9429 (or 9423 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 142211140240 its reverse (42041112241), we get a palindrome (184252252481).

The spelling of 142211140240 in words is "one hundred forty-two billion, two hundred eleven million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 109 130 137 208 218 260 274 436 520 545 548 685 872 1040 1090 1096 1370 1417 1744 1781 2180 2192 2740 2834 3562 4360 5480 5668 7085 7124 8720 8905 9157 10960 11336 14170 14248 14933 17810 18314 22672 28340 28496 29866 35620 36628 45785 56680 59732 71240 73256 74665 91570 113360 119041 119464 142480 146512 149330 183140 194129 238082 238928 298660 366280 388258 476164 595205 597320 732560 776516 952328 970645 998113 1190410 1194640 1254509 1553032 1904656 1941290 1996226 2380820 2509018 3106064 3882580 3992452 4761640 4990565 5018036 6272545 7765160 7984904 9523280 9981130 10036072 12545090 12975469 15530320 15969808 16308617 19962260 20072144 25090180 25950938 32617234 39924520 50180360 51901876 64877345 65234468 79849040 81543085 100360720 103803752 129754690 130468936 136741481 163086170 207607504 259509380 260937872 273482962 326172340 519018760 546965924 652344680 683707405 1038037520 1093931848 1304689360 1367414810 1777639253 2187863696 2734829620 3555278506 5469659240 7110557012 8888196265 10939318480 14221114024 17776392530 28442228048 35552785060 71105570120 142211140240