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141002434530 = 233531127132647
BaseRepresentation
bin1000001101010001100…
…1100110011111100010
3111110221200221211102000
42003110121212133202
54302233110401110
6144435311304430
713121112626646
oct2032431463742
9443850854360
10141002434530
1154887220031
12233b151b116
13103b1472319
146b78810c26
153a03c341c0
hex20d46667e2

141002434530 has 128 divisors (see below), whose sum is σ = 391194869760. Its totient is φ = 36100935360.

The previous prime is 141002434487. The next prime is 141002434543. The reversal of 141002434530 is 35434200141.

It is a happy number.

141002434530 is a `hidden beast` number, since 1 + 4 + 100 + 24 + 3 + 4 + 530 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 141002434494 and 141002434503.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 996667 + ... + 1129313.

It is an arithmetic number, because the mean of its divisors is an integer number (3056209920).

Almost surely, 2141002434530 is an apocalyptic number.

141002434530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141002434530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195597434880).

141002434530 is an abundant number, since it is smaller than the sum of its proper divisors (250192435230).

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

141002434530 is a wasteful number, since it uses less digits than its factorization.

141002434530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132821 (or 132815 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 141002434530 its reverse (35434200141), we get a palindrome (176436634671).

The spelling of 141002434530 in words is "one hundred forty-one billion, two million, four hundred thirty-four thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 127 135 155 186 254 270 279 310 381 465 558 635 762 837 930 1143 1270 1395 1674 1905 2286 2790 3429 3810 3937 4185 5715 6858 7874 8370 11430 11811 17145 19685 23622 34290 35433 39370 59055 70866 106299 118110 132647 177165 212598 265294 354330 397941 531495 663235 795882 1062990 1193823 1326470 1989705 2387646 3581469 3979410 4112057 5969115 7162938 8224114 11938230 12336171 16846169 17907345 20560285 24672342 33692338 35814690 37008513 41120570 50538507 61680855 74017026 84230845 101077014 111025539 123361710 151615521 168461690 185042565 222051078 252692535 303231042 370085130 454846563 505385070 522231239 555127695 758077605 909693126 1044462478 1110255390 1516155210 1566693717 2274232815 2611156195 3133387434 4548465630 4700081151 5222312390 7833468585 9400162302 14100243453 15666937170 23500405755 28200486906 47000811510 70501217265 141002434530