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141424020 = 2232517113409
BaseRepresentation
bin10000110110111…
…11010110010100
3100212010002021200
420123133112110
5242201032040
622011112500
73335040633
oct1033372624
9325102250
10141424020
1172914a61
123b442730
13233b856a
1414ad551a
15c638630
hex86df594

141424020 has 144 divisors (see below), whose sum is σ = 459360720. Its totient is φ = 35094528.

The previous prime is 141424013. The next prime is 141424043. The reversal of 141424020 is 20424141.

It can be written as a sum of positive squares in 8 ways, for example, as 4356 + 141419664 = 66^2 + 11892^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 141423984 and 141424002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345576 + ... + 345984.

It is an arithmetic number, because the mean of its divisors is an integer number (3190005).

Almost surely, 2141424020 is an apocalyptic number.

141424020 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 141424020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229680360).

141424020 is an abundant number, since it is smaller than the sum of its proper divisors (317936700).

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

141424020 is a wasteful number, since it uses less digits than its factorization.

141424020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 141424020 is about 11892.1831469247. The cubic root of 141424020 is about 521.0040020667.

Adding to 141424020 its reverse (20424141), we get a palindrome (161848161).

The spelling of 141424020 in words is "one hundred forty-one million, four hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 113 153 170 180 204 226 255 306 339 340 409 452 510 565 612 678 765 818 1017 1020 1130 1227 1356 1530 1636 1695 1921 2034 2045 2260 2454 3060 3390 3681 3842 4068 4090 4908 5085 5763 6135 6780 6953 7362 7684 8180 9605 10170 11526 12270 13906 14724 17289 18405 19210 20340 20859 23052 24540 27812 28815 34578 34765 36810 38420 41718 46217 57630 62577 69156 69530 73620 83436 86445 92434 104295 115260 125154 138651 139060 172890 184868 208590 231085 250308 277302 312885 345780 415953 417180 462170 554604 625770 693255 785689 831906 924340 1251540 1386510 1571378 1663812 2079765 2357067 2773020 3142756 3928445 4159530 4714134 7071201 7856890 8319060 9428268 11785335 14142402 15713780 23570670 28284804 35356005 47141340 70712010 141424020