Search a number
-
+
141043440 = 24354379173
BaseRepresentation
bin10000110100000…
…10011011110000
3100211101202020010
420122002123300
5242101342230
621555014520
73331564236
oct1032023360
9324352203
10141043440
117268502a
123b29a440
13232b4275
1414a36956
15c5b09b0
hex86826f0

141043440 has 160 divisors (see below), whose sum is σ = 455685120. Its totient is φ = 36062208.

The previous prime is 141043433. The next prime is 141043447. The reversal of 141043440 is 44340141.

141043440 = T240 + T241 + ... + T950.

It is an interprime number because it is at equal distance from previous prime (141043433) and next prime (141043447).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141043447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 815194 + ... + 815366.

It is an arithmetic number, because the mean of its divisors is an integer number (2848032).

Almost surely, 2141043440 is an apocalyptic number.

141043440 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 141043440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227842560).

141043440 is an abundant number, since it is smaller than the sum of its proper divisors (314641680).

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

141043440 is a wasteful number, since it uses less digits than its factorization.

141043440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 141043440 is about 11876.1711001484. The cubic root of 141043440 is about 520.5362318494.

Adding to 141043440 its reverse (44340141), we get a palindrome (185383581).

It can be divided in two parts, 1410 and 43440, that added together give a triangular number (44850 = T299).

The spelling of 141043440 in words is "one hundred forty-one million, forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 79 80 86 120 129 158 172 173 215 237 240 258 316 344 346 395 430 474 516 519 632 645 688 692 790 860 865 948 1032 1038 1185 1264 1290 1384 1580 1720 1730 1896 2064 2076 2370 2580 2595 2768 3160 3397 3440 3460 3792 4152 4740 5160 5190 6320 6794 6920 7439 8304 9480 10191 10320 10380 13588 13667 13840 14878 16985 18960 20382 20760 22317 27176 27334 29756 33970 37195 40764 41001 41520 44634 50955 54352 54668 59512 67940 68335 74390 81528 82002 89268 101910 109336 111585 119024 135880 136670 148780 163056 164004 178536 203820 205005 218672 223170 271760 273340 297560 328008 357072 407640 410010 446340 546680 587681 595120 656016 815280 820020 892680 1093360 1175362 1640040 1763043 1785360 2350724 2938405 3280080 3526086 4701448 5876810 7052172 8815215 9402896 11753620 14104344 17630430 23507240 28208688 35260860 47014480 70521720 141043440