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141009336 = 23341319881
BaseRepresentation
bin10000110011110…
…10000110111000
3100211100000110000
420121322012320
5242044244321
621554153000
73331362636
oct1031720670
9324300400
10141009336
1172661446
123b282760
13232a18a0
1414a28356
15c5a5826
hex867a1b8

141009336 has 160 divisors (see below), whose sum is σ = 448232400. Its totient is φ = 41057280.

The previous prime is 141009313. The next prime is 141009347. The reversal of 141009336 is 633900141.

It is a super-3 number, since 3×1410093363 (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 159616 + ... + 160496.

Almost surely, 2141009336 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 141009336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224116200).

141009336 is an abundant number, since it is smaller than the sum of its proper divisors (307223064).

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

141009336 is a wasteful number, since it uses less digits than its factorization.

141009336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 141009336 is about 11874.7351970476. The cubic root of 141009336 is about 520.4942736209.

Adding to 141009336 its reverse (633900141), we get a palindrome (774909477).

It can be divided in two parts, 14100 and 9336, that added together give a triangular number (23436 = T216).

The spelling of 141009336 in words is "one hundred forty-one million, nine thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 81 104 108 114 117 152 156 162 171 216 228 234 247 312 324 342 351 456 468 494 513 648 684 702 741 881 936 988 1026 1053 1368 1404 1482 1539 1762 1976 2052 2106 2223 2643 2808 2964 3078 3524 4104 4212 4446 5286 5928 6156 6669 7048 7929 8424 8892 10572 11453 12312 13338 15858 16739 17784 20007 21144 22906 23787 26676 31716 33478 34359 40014 45812 47574 50217 53352 63432 66956 68718 71361 80028 91624 95148 100434 103077 133912 137436 142722 150651 160056 190296 200868 206154 217607 274872 285444 301302 309231 401736 412308 435214 451953 570888 602604 618462 652821 824616 870428 903906 927693 1205208 1236924 1305642 1355859 1740856 1807812 1855386 1958463 2473848 2611284 2711718 3615624 3710772 3916926 5222568 5423436 5875389 7421544 7833852 10846872 11750778 15667704 17626167 23501556 35252334 47003112 70504668 141009336