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142144141040 = 245112394191613
BaseRepresentation
bin1000010001100001110…
…0110111011011110000
3111120220021021112022022
42010120130313123300
54312102400003130
6145144454131012
713161315156236
oct2043034673360
9446807245268
10142144141040
1155312731030
122366b950a68
1310533b664c5
146c462c8956
153a6e0a77e5
hex21187376f0

142144141040 has 160 divisors (see below), whose sum is σ = 363126758400. Its totient is φ = 51317826560.

The previous prime is 142144141019. The next prime is 142144141099. The reversal of 142144141040 is 40141441241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88123274 + ... + 88124886.

It is an arithmetic number, because the mean of its divisors is an integer number (2269542240).

Almost surely, 2142144141040 is an apocalyptic number.

142144141040 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 142144141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181563379200).

142144141040 is an abundant number, since it is smaller than the sum of its proper divisors (220982617360).

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

142144141040 is a wasteful number, since it uses less digits than its factorization.

142144141040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2295 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 142144141040 its reverse (40141441241), we get a palindrome (182285582281).

The spelling of 142144141040 in words is "one hundred forty-two billion, one hundred forty-four million, one hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 239 419 440 478 838 880 956 1195 1613 1676 1912 2095 2390 2629 3226 3352 3824 4190 4609 4780 5258 6452 6704 8065 8380 9218 9560 10516 12904 13145 16130 16760 17743 18436 19120 21032 23045 25808 26290 32260 33520 35486 36872 42064 46090 52580 64520 70972 73744 88715 92180 100141 105160 129040 141944 177430 184360 200282 210320 283888 354860 368720 385507 400564 500705 675847 709720 771014 801128 1001410 1101551 1351694 1419440 1542028 1602256 1927535 2002820 2203102 2703388 3084056 3379235 3855070 4005640 4240577 4406204 5406776 5507755 6168112 6758470 7434317 7710140 8011280 8481154 8812408 10813552 11015510 13516940 14868634 15420280 16962308 17624816 21202885 22031020 27033880 29737268 30840560 33924616 37171585 42405770 44062040 54067760 59474536 67849232 74343170 84811540 88124080 118949072 148686340 161527433 169623080 297372680 323054866 339246160 594745360 646109732 807637165 1292219464 1615274330 1776801763 2584438928 3230548660 3553603526 6461097320 7107207052 8884008815 12922194640 14214414104 17768017630 28428828208 35536035260 71072070520 142144141040