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141984507684 = 2234711312371801
BaseRepresentation
bin1000010000111011101…
…1111010011100100100
3111120111010220022111210
42010032323322130210
54311241013221214
6145120552431420
713154336254665
oct2041673723444
9446433808453
10141984507684
115524060a138
12236263a8570
1310509a738b6
146c2d01336c
153a60073b59
hex210eefa724

141984507684 has 96 divisors (see below), whose sum is σ = 341805897216. Its totient is φ = 45848678400.

The previous prime is 141984507659. The next prime is 141984507689. The reversal of 141984507684 is 486705489141.

141984507684 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (141984507689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78835584 + ... + 78837384.

It is an arithmetic number, because the mean of its divisors is an integer number (3560478096).

Almost surely, 2141984507684 is an apocalyptic number.

It is an amenable number.

141984507684 is an abundant number, since it is smaller than the sum of its proper divisors (199821389532).

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

141984507684 is a wasteful number, since it uses less digits than its factorization.

141984507684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3205 (or 3203 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 141984507684 in words is "one hundred forty-one billion, nine hundred eighty-four million, five hundred seven thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 12 47 94 113 141 188 226 282 339 452 564 678 1237 1356 1801 2474 3602 3711 4948 5311 5403 7204 7422 10622 10806 14844 15933 21244 21612 31866 58139 63732 84647 116278 139781 169294 174417 203513 232556 253941 279562 338588 348834 407026 419343 507882 559124 610539 697668 814052 838686 1015764 1221078 1677372 2227837 2442156 4455674 6569707 6683511 8911348 9565111 13139414 13367022 19130222 19709121 26278828 26734044 28695333 38260444 39418242 57390666 78836484 104708339 114781332 209416678 251745581 314125017 418833356 503491162 628250034 755236743 1006982324 1256500068 1510473486 3020946972 11832042307 23664084614 35496126921 47328169228 70992253842 141984507684