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141993414192 = 243717231080817
BaseRepresentation
bin1000010000111101110…
…1111000111000110000
3111120111202122210221110
42010033131320320300
54311300303223232
6145121511353320
713154505051330
oct2041735707060
9446452583843
10141993414192
1155245642793
1223629382840
131050b871816
146c302910c0
153a60c32acc
hex210f778e30

141993414192 has 160 divisors (see below), whose sum is σ = 463178068992. Its totient is φ = 36522934272.

The previous prime is 141993414139. The next prime is 141993414203. The reversal of 141993414192 is 291414399141.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 409033 + ... + 671784.

Almost surely, 2141993414192 is an apocalyptic number.

141993414192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141993414192 is an abundant number, since it is smaller than the sum of its proper divisors (321184654800).

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

141993414192 is a wasteful number, since it uses less digits than its factorization.

141993414192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080875 (or 1080869 counting only the distinct ones).

The product of its digits is 279936, while the sum is 48.

The spelling of 141993414192 in words is "one hundred forty-one billion, nine hundred ninety-three million, four hundred fourteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 23 24 28 34 42 46 48 51 56 68 69 84 92 102 112 119 136 138 161 168 184 204 238 272 276 322 336 357 368 391 408 476 483 552 644 714 782 816 952 966 1104 1173 1288 1428 1564 1904 1932 2346 2576 2737 2856 3128 3864 4692 5474 5712 6256 7728 8211 9384 10948 16422 18768 21896 32844 43792 65688 131376 1080817 2161634 3242451 4323268 6484902 7565719 8646536 12969804 15131438 17293072 18373889 22697157 24858791 25939608 30262876 36747778 45394314 49717582 51879216 55121667 60525752 73495556 74576373 90788628 99435164 110243334 121051504 128617223 146991112 149152746 174011537 181577256 198870328 220486668 257234446 293982224 298305492 348023074 363154512 385851669 397740656 422599447 440973336 514468892 522034611 596610984 696046148 771703338 845198894 881946672 1028937784 1044069222 1193221968 1267798341 1392092296 1543406676 1690397788 2057875568 2088138444 2535596682 2784184592 2958196129 3086813352 3380795576 4176276888 5071193364 5916392258 6173626704 6761591152 8352553776 8874588387 10142386728 11832784516 17749176774 20284773456 23665569032 35498353548 47331138064 70996707096 141993414192