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142513441152 = 27313714918181
BaseRepresentation
bin1000010010111001110…
…1101000100110000000
3111121212000011220211020
42010232131220212000
54313331420104102
6145245245345440
713203421156035
oct2045635504600
9447760156736
10142513441152
1155492138735
1223753568280
1310592519394
146c7d37b38c
153a91704bbc
hex212e768980

142513441152 has 128 divisors (see below), whose sum is σ = 383894748000. Its totient is φ = 46838661120.

The previous prime is 142513441129. The next prime is 142513441163. The reversal of 142513441152 is 251144315241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7829502 + ... + 7847682.

Almost surely, 2142513441152 is an apocalyptic number.

142513441152 is a gapful number since it is divisible by the number (12) 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 142513441152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191947374000).

142513441152 is an abundant number, since it is smaller than the sum of its proper divisors (241381306848).

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

142513441152 is a wasteful number, since it uses less digits than its factorization.

142513441152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18484 (or 18472 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

Adding to 142513441152 its reverse (251144315241), we get a palindrome (393657756393).

The spelling of 142513441152 in words is "one hundred forty-two billion, five hundred thirteen million, four hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 149 192 274 298 384 411 447 548 596 822 894 1096 1192 1644 1788 2192 2384 3288 3576 4384 4768 6576 7152 8768 9536 13152 14304 17536 18181 19072 20413 26304 28608 36362 40826 52608 54543 57216 61239 72724 81652 109086 122478 145448 163304 218172 244956 290896 326608 436344 489912 581792 653216 872688 979824 1163584 1306432 1745376 1959648 2327168 2490797 2612864 2708969 3490752 3919296 4981594 5417938 6981504 7472391 7838592 8126907 9963188 10835876 14944782 16253814 19926376 21671752 29889564 32507628 39852752 43343504 59779128 65015256 79705504 86687008 119558256 130030512 159411008 173374016 239116512 260061024 318822016 346748032 371128753 478233024 520122048 742257506 956466048 1040244096 1113386259 1484515012 2226772518 2969030024 4453545036 5938060048 8907090072 11876120096 17814180144 23752240192 35628360288 47504480384 71256720576 142513441152