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141681408 = 2831131541
BaseRepresentation
bin10000111000111…
…10001100000000
3100212121011100120
420130132030000
5242232301113
622020420240
73340162221
oct1034361400
9325534316
10141681408
1172a80380
123b547680
132347876b
1414b61248
15c689a23
hex871e300

141681408 has 144 divisors (see below), whose sum is σ = 425413632. Its totient is φ = 41472000.

The previous prime is 141681391. The next prime is 141681437. The reversal of 141681408 is 804186141.

It is a Cunningham number, because it is equal to 119032-1.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261618 + ... + 262158.

Almost surely, 2141681408 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 141681408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212706816).

141681408 is an abundant number, since it is smaller than the sum of its proper divisors (283732224).

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

141681408 is a wasteful number, since it uses less digits than its factorization.

141681408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 141681408 is about 11902.9999579938. Note that the first 4 decimals coincide. The cubic root of 141681408 is about 521.3198817108.

It can be divided in two parts, 14168 and 1408, that added together give a triangular number (15576 = T176).

The spelling of 141681408 in words is "one hundred forty-one million, six hundred eighty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 128 132 176 186 192 248 256 264 341 352 372 384 496 528 541 682 704 744 768 992 1023 1056 1082 1364 1408 1488 1623 1984 2046 2112 2164 2728 2816 2976 3246 3968 4092 4224 4328 5456 5951 5952 6492 7936 8184 8448 8656 10912 11902 11904 12984 16368 16771 17312 17853 21824 23804 23808 25968 32736 33542 34624 35706 43648 47608 50313 51936 65472 67084 69248 71412 87296 95216 100626 103872 130944 134168 138496 142824 184481 190432 201252 207744 261888 268336 285648 368962 380864 402504 415488 536672 553443 571296 737924 761728 805008 1073344 1106886 1142592 1475848 1523456 1610016 2146688 2213772 2285184 2951696 3220032 4293376 4427544 4570368 5903392 6440064 8855088 11806784 12880128 17710176 23613568 35420352 47227136 70840704 141681408