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141244400 = 24521147683
BaseRepresentation
bin10000110101100…
…11011111110000
3100211202221220002
420122303133300
5242124310100
622003205132
73333362153
oct1032633760
9324687802
10141244400
1172802010
123b3767a8
132335488b
1414a89c9a
15c6002d5
hex86b37f0

141244400 has 120 divisors (see below), whose sum is σ = 378618624. Its totient is φ = 50195200.

The previous prime is 141244399. The next prime is 141244421. The reversal of 141244400 is 4442141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206459 + ... + 207141.

Almost surely, 2141244400 is an apocalyptic number.

141244400 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 141244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189309312).

141244400 is an abundant number, since it is smaller than the sum of its proper divisors (237374224).

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

141244400 is a wasteful number, since it uses less digits than its factorization.

141244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 141244400 is about 11884.6287278989. The cubic root of 141244400 is about 520.7833361429.

Adding to 141244400 its reverse (4442141), we get a palindrome (145686541).

The spelling of 141244400 in words is "one hundred forty-one million, two hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 47 50 55 80 88 94 100 110 176 188 200 220 235 275 376 400 440 470 517 550 683 752 880 940 1034 1100 1175 1366 1880 2068 2200 2350 2585 2732 3415 3760 4136 4400 4700 5170 5464 6830 7513 8272 9400 10340 10928 12925 13660 15026 17075 18800 20680 25850 27320 30052 32101 34150 37565 41360 51700 54640 60104 64202 68300 75130 103400 120208 128404 136600 150260 160505 187825 206800 256808 273200 300520 321010 353111 375650 513616 601040 642020 706222 751300 802525 1284040 1412444 1502600 1605050 1765555 2568080 2824888 3005200 3210100 3531110 5649776 6420200 7062220 8827775 12840400 14124440 17655550 28248880 35311100 70622200 141244400