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16141944 = 23371319389
BaseRepresentation
bin111101100100…
…111001111000
31010101002120210
4331210321320
513113020234
61333551120
7254130030
oct75447170
933332523
1016141944
119125755
1254a54a0
133462360
1422028c0
15163cbe9
hexf64e78

16141944 has 128 divisors (see below), whose sum is σ = 52416000. Its totient is φ = 4022784.

The previous prime is 16141943. The next prime is 16141949. The reversal of 16141944 is 44914161.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16141943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41302 + ... + 41690.

It is an arithmetic number, because the mean of its divisors is an integer number (409500).

Almost surely, 216141944 is an apocalyptic number.

16141944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16141944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26208000).

16141944 is an abundant number, since it is smaller than the sum of its proper divisors (36274056).

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

16141944 is a wasteful number, since it uses less digits than its factorization.

16141944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 433 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 16141944 is about 4017.7038218365. The cubic root of 16141944 is about 252.7271765217.

The spelling of 16141944 in words is "sixteen million, one hundred forty-one thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 19 21 24 26 28 38 39 42 52 56 57 76 78 84 91 104 114 133 152 156 168 182 228 247 266 273 312 364 389 399 456 494 532 546 728 741 778 798 988 1064 1092 1167 1482 1556 1596 1729 1976 2184 2334 2723 2964 3112 3192 3458 4668 5057 5187 5446 5928 6916 7391 8169 9336 10114 10374 10892 13832 14782 15171 16338 20228 20748 21784 22173 29564 30342 32676 35399 40456 41496 44346 51737 59128 60684 65352 70798 88692 96083 103474 106197 121368 141596 155211 177384 192166 206948 212394 283192 288249 310422 384332 413896 424788 576498 620844 672581 768664 849576 1152996 1241688 1345162 2017743 2305992 2690324 4035486 5380648 8070972 16141944