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141244840 = 235111723821
BaseRepresentation
bin10000110101100…
…11100110101000
3100211202222111101
420122303212220
5242124313330
622003211144
73333363352
oct1032634650
9324688441
10141244840
1172802380
123b376ab4
1323354b39
1414a8a0d2
15c6004ca
hex86b39a8

141244840 has 128 divisors (see below), whose sum is σ = 383512320. Its totient is φ = 46182400.

The previous prime is 141244813. The next prime is 141244861. The reversal of 141244840 is 48442141.

It is a junction number, because it is equal to n+sod(n) for n = 141244799 and 141244808.

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, 171630 + ... + 172450.

It is an arithmetic number, because the mean of its divisors is an integer number (2996190).

Almost surely, 2141244840 is an apocalyptic number.

141244840 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 141244840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191756160).

141244840 is an abundant number, since it is smaller than the sum of its proper divisors (242267480).

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

141244840 is a wasteful number, since it uses less digits than its factorization.

141244840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 141244840 is about 11884.6472391906. The cubic root of 141244840 is about 520.7838769182.

Adding to 141244840 its reverse (48442141), we get a palindrome (189686981).

The spelling of 141244840 in words is "one hundred forty-one million, two hundred forty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 23 34 40 44 46 55 68 85 88 92 110 115 136 170 184 187 220 230 253 340 374 391 440 460 506 680 748 782 821 920 935 1012 1265 1496 1564 1642 1870 1955 2024 2530 3128 3284 3740 3910 4105 4301 5060 6568 7480 7820 8210 8602 9031 10120 13957 15640 16420 17204 18062 18883 21505 27914 32840 34408 36124 37766 43010 45155 55828 69785 72248 75532 86020 90310 94415 111656 139570 151064 153527 172040 180620 188830 207713 279140 307054 321011 361240 377660 415426 558280 614108 642022 755320 767635 830852 1038565 1228216 1284044 1535270 1605055 1661704 2077130 2568088 3070540 3210110 3531121 4154260 6141080 6420220 7062242 8308520 12840440 14124484 17655605 28248968 35311210 70622420 141244840