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142343525343200 = 25521747222690121
BaseRepresentation
bin100000010111010111101111…
…010000111001111111100000
3200122222220112000121221112112
4200113113233100321333200
5122124124014441440300
61222423413544214452
741660660153032016
oct4027275720717740
9618886460557475
10142343525343200
114139a606193945
1213b6b16676a428
136156c243269cc
14272166b7648b6
15116ca35dc5e35
hex8175ef439fe0

142343525343200 has 144 divisors (see below), whose sum is σ = 375765530341824. Its totient is φ = 52447977062400.

The previous prime is 142343525343167. The next prime is 142343525343211. The reversal of 142343525343200 is 2343525343241.

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, 110705861 + ... + 111984260.

It is an arithmetic number, because the mean of its divisors is an integer number (2609482849596).

Almost surely, 2142343525343200 is an apocalyptic number.

142343525343200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142343525343200 is an abundant number, since it is smaller than the sum of its proper divisors (233422004998624).

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

142343525343200 is a wasteful number, since it uses less digits than its factorization.

142343525343200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222690205 (or 222690192 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 41.

Adding to 142343525343200 its sum of digits (41), we get a palindrome (142343525343241).

The spelling of 142343525343200 in words is "one hundred forty-two trillion, three hundred forty-three billion, five hundred twenty-five million, three hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 47 50 68 80 85 94 100 136 160 170 188 200 235 272 340 376 400 425 470 544 680 752 799 800 850 940 1175 1360 1504 1598 1700 1880 2350 2720 3196 3400 3760 3995 4700 6392 6800 7520 7990 9400 12784 13600 15980 18800 19975 25568 31960 37600 39950 63920 79900 127840 159800 319600 639200 222690121 445380242 890760484 1113450605 1781520968 2226901210 3563041936 3785732057 4453802420 5567253025 7126083872 7571464114 8907604840 10466435687 11134506050 15142928228 17815209680 18928660285 20932871374 22269012100 30285856456 35630419360 37857320570 41865742748 44538024200 52332178435 60571712912 75714641140 83731485496 89076048400 94643301425 104664356870 121143425824 151429282280 167462970992 177929406679 178152096800 189286602850 209328713740 261660892175 302858564560 334925941984 355858813358 378573205700 418657427480 523321784350 605717129120 711717626716 757146411400 837314854960 889647033395 1046643568700 1423435253432 1514292822800 1674629709920 1779294066790 2093287137400 2846870506864 3028585645600 3558588133580 4186574274800 4448235166975 5693741013728 7117176267160 8373148549600 8896470333950 14234352534320 17792940667900 28468705068640 35585881335800 71171762671600 142343525343200