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141744460 = 2251113291709
BaseRepresentation
bin10000111001011…
…01100101001100
3100212201100211211
420130231211030
5242241310320
622022024204
73340544104
oct1034554514
9325640754
10141744460
1173013790
123b578064
132349b380
1414b7a204
15c69d55a
hex872d94c

141744460 has 96 divisors (see below), whose sum is σ = 361972800. Its totient is φ = 45911040.

The previous prime is 141744457. The next prime is 141744481. The reversal of 141744460 is 64447141.

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 31 ways as a sum of consecutive naturals, for example, 82086 + ... + 83794.

It is an arithmetic number, because the mean of its divisors is an integer number (3770550).

Almost surely, 2141744460 is an apocalyptic number.

141744460 is a gapful number since it is divisible by the number (10) 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 141744460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180986400).

141744460 is an abundant number, since it is smaller than the sum of its proper divisors (220228340).

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

141744460 is a wasteful number, since it uses less digits than its factorization.

141744460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 141744460 is about 11905.6482393862. The cubic root of 141744460 is about 521.3972039857.

The spelling of 141744460 in words is "one hundred forty-one million, seven hundred forty-four thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 13 20 22 26 29 44 52 55 58 65 110 116 130 143 145 220 260 286 290 319 377 572 580 638 715 754 1276 1430 1508 1595 1709 1885 2860 3190 3418 3770 4147 6380 6836 7540 8294 8545 16588 17090 18799 20735 22217 34180 37598 41470 44434 49561 75196 82940 88868 93995 99122 111085 187990 198244 222170 244387 247805 375980 444340 488774 495610 545171 644293 977548 991220 1090342 1221935 1288586 2180684 2443870 2577172 2725855 3221465 4887740 5451710 6442930 7087223 10903420 12885860 14174446 28348892 35436115 70872230 141744460