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141208642048 = 2919234571381
BaseRepresentation
bin1000001110000010110…
…0001110001000000000
3111111111001222020221111
42003200230032020000
54303143403021143
6144511555133104
713126165440025
oct2034054161000
9444431866844
10141208642048
1154982662871
122344a5a4194
13104150c0bc6
146b97d6b54c
153a16db799d
hex20e0b0e200

141208642048 has 160 divisors (see below), whose sum is σ = 310806714240. Its totient is φ = 63793889280.

The previous prime is 141208642037. The next prime is 141208642049. The reversal of 141208642048 is 840246802141.

It is a self number, because there is not a number n which added to its sum of digits gives 141208642048.

It is not an unprimeable number, because it can be changed into a prime (141208642049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102250318 + ... + 102251698.

It is an arithmetic number, because the mean of its divisors is an integer number (1942541964).

Almost surely, 2141208642048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141208642048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155403357120).

141208642048 is an abundant number, since it is smaller than the sum of its proper divisors (169598072192).

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

141208642048 is a wasteful number, since it uses less digits than its factorization.

141208642048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The spelling of 141208642048 in words is "one hundred forty-one billion, two hundred eight million, six hundred forty-two thousand, forty-eight".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 128 152 184 256 304 368 437 457 512 608 736 874 914 1216 1381 1472 1748 1828 2432 2762 2944 3496 3656 4864 5524 5888 6992 7312 8683 9728 10511 11048 11776 13984 14624 17366 21022 22096 26239 27968 29248 31763 34732 42044 44192 52478 55936 58496 63526 69464 84088 88384 104956 111872 116992 127052 138928 168176 176768 199709 209912 223744 233984 254104 277856 336352 353536 399418 419824 508208 555712 603497 631117 672704 707072 798836 839648 1016416 1111424 1206994 1262234 1345408 1597672 1679296 2032832 2222848 2413988 2524468 2690816 3195344 3358592 4065664 4445696 4827976 5048936 5381632 6390688 6717184 8131328 9655952 10097872 11991223 12781376 13434368 14515691 16262656 19311904 20195744 23982446 25562752 29031382 38623808 40391488 47964892 51125504 58062764 77247616 80782976 95929784 102251008 116125528 154495232 161565952 191859568 232251056 275798129 308990464 323131904 383719136 464502112 551596258 767438272 929004224 1103192516 1534876544 1858008448 2206385032 3069753088 3716016896 4412770064 6139506176 7432033792 8825540128 17651080256 35302160512 70604321024 141208642048