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141410100 = 2235213101359
BaseRepresentation
bin10000110110110…
…11111100110100
3100212002101012010
420123123330310
5242200110400
622010524220
73334652226
oct1033337464
9325071163
10141410100
1172905557
123b436670
13233b2120
1414ad0416
15c634450
hex86dbf34

141410100 has 144 divisors (see below), whose sum is σ = 446221440. Its totient is φ = 34368000.

The previous prime is 141410099. The next prime is 141410117. The reversal of 141410100 is 1014141.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 393721 + ... + 394079.

It is an arithmetic number, because the mean of its divisors is an integer number (3098760).

Almost surely, 2141410100 is an apocalyptic number.

141410100 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 141410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223110720).

141410100 is an abundant number, since it is smaller than the sum of its proper divisors (304811340).

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

141410100 is a wasteful number, since it uses less digits than its factorization.

141410100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 141410100 is about 11891.5978741294. The cubic root of 141410100 is about 520.9869078143.

Adding to 141410100 its reverse (1014141), we get a palindrome (142424241).

The spelling of 141410100 in words is "one hundred forty-one million, four hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 101 130 150 156 195 202 260 300 303 325 359 390 404 505 606 650 718 780 975 1010 1077 1212 1300 1313 1436 1515 1795 1950 2020 2154 2525 2626 3030 3590 3900 3939 4308 4667 5050 5252 5385 6060 6565 7180 7575 7878 8975 9334 10100 10770 13130 14001 15150 15756 17950 18668 19695 21540 23335 26260 26925 28002 30300 32825 35900 36259 39390 46670 53850 56004 65650 70005 72518 78780 93340 98475 107700 108777 116675 131300 140010 145036 181295 196950 217554 233350 280020 350025 362590 393900 435108 466700 471367 543885 700050 725180 906475 942734 1087770 1400100 1414101 1812950 1885468 2175540 2356835 2719425 2828202 3625900 4713670 5438850 5656404 7070505 9427340 10877700 11784175 14141010 23568350 28282020 35352525 47136700 70705050 141410100