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141141840 = 24357292897
BaseRepresentation
bin10000110100110…
…10011101010000
3100211120202012120
420122122131100
5242113014330
622001054240
73332454150
oct1032323520
9324522176
10141141840
1172741a54
123b327380
1323319ca8
1414a60760
15c5cec10
hex869a750

141141840 has 160 divisors (see below), whose sum is σ = 517466880. Its totient is φ = 31137792.

The previous prime is 141141839. The next prime is 141141883. The reversal of 141141840 is 48141141.

141141840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 141141840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47272 + ... + 50168.

It is an arithmetic number, because the mean of its divisors is an integer number (3234168).

Almost surely, 2141141840 is an apocalyptic number.

141141840 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 141141840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258733440).

141141840 is an abundant number, since it is smaller than the sum of its proper divisors (376325040).

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

141141840 is a wasteful number, since it uses less digits than its factorization.

141141840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2949 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 141141840 is about 11880.3131271865. The cubic root of 141141840 is about 520.6572556945.

Adding to 141141840 its reverse (48141141), we get a palindrome (189282981).

The spelling of 141141840 in words is "one hundred forty-one million, one hundred forty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 35 40 42 48 56 58 60 70 80 84 87 105 112 116 120 140 145 168 174 203 210 232 240 280 290 336 348 406 420 435 464 560 580 609 696 812 840 870 1015 1160 1218 1392 1624 1680 1740 2030 2320 2436 2897 3045 3248 3480 4060 4872 5794 6090 6960 8120 8691 9744 11588 12180 14485 16240 17382 20279 23176 24360 28970 34764 40558 43455 46352 48720 57940 60837 69528 81116 84013 86910 101395 115880 121674 139056 162232 168026 173820 202790 231760 243348 252039 304185 324464 336052 347640 405580 420065 486696 504078 588091 608370 672104 695280 811160 840130 973392 1008156 1176182 1216740 1260195 1344208 1622320 1680260 1764273 2016312 2352364 2433480 2520390 2940455 3360520 3528546 4032624 4704728 4866960 5040780 5880910 6721040 7057092 8821365 9409456 10081560 11761820 14114184 17642730 20163120 23523640 28228368 35285460 47047280 70570920 141141840