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141041040 = 24357372269
BaseRepresentation
bin10000110100000…
…01110110010000
3100211101121221020
420122001312100
5242101303130
621554555440
73331554240
oct1032016620
9324347836
10141041040
1172683248
123b298b80
13232b314a
1414a35b20
15c5aee10
hex8681d90

141041040 has 160 divisors (see below), whose sum is σ = 513419520. Its totient is φ = 31352832.

The previous prime is 141041039. The next prime is 141041057. The reversal of 141041040 is 40140141.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 61026 + ... + 63294.

It is an arithmetic number, because the mean of its divisors is an integer number (3208872).

Almost surely, 2141041040 is an apocalyptic number.

141041040 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 141041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256709760).

141041040 is an abundant number, since it is smaller than the sum of its proper divisors (372378480).

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

141041040 is a wasteful number, since it uses less digits than its factorization.

141041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 141041040 is about 11876.0700570517. The cubic root of 141041040 is about 520.5332793452.

Adding to 141041040 its reverse (40140141), we get a palindrome (181181181).

The spelling of 141041040 in words is "one hundred forty-one million, forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 37 40 42 48 56 60 70 74 80 84 105 111 112 120 140 148 168 185 210 222 240 259 280 296 336 370 420 444 518 555 560 592 740 777 840 888 1036 1110 1295 1480 1554 1680 1776 2072 2220 2269 2590 2960 3108 3885 4144 4440 4538 5180 6216 6807 7770 8880 9076 10360 11345 12432 13614 15540 15883 18152 20720 22690 27228 31080 31766 34035 36304 45380 47649 54456 62160 63532 68070 79415 83953 90760 95298 108912 127064 136140 158830 167906 181520 190596 238245 251859 254128 272280 317660 335812 381192 419765 476490 503718 544560 587671 635320 671624 762384 839530 952980 1007436 1175342 1259295 1270640 1343248 1679060 1763013 1905960 2014872 2350684 2518590 2938355 3358120 3526026 3811920 4029744 4701368 5037180 5876710 6716240 7052052 8815065 9402736 10074360 11753420 14104104 17630130 20148720 23506840 28208208 35260260 47013680 70520520 141041040