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141000400 = 24523183137
BaseRepresentation
bin10000110011101…
…11111011010000
3100211022120012001
420121313323100
5242044003100
621554043344
73331324612
oct1031677320
9324276161
10141000400
1172655762
123b279554
132329a7b8
1414a24db2
15c5a2d6a
hex8677ed0

141000400 has 120 divisors (see below), whose sum is σ = 356477184. Its totient is φ = 53529600.

The previous prime is 141000371. The next prime is 141000469. The reversal of 141000400 is 4000141.

It is a super-2 number, since 2×1410004002 = 39762225600320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 1029132 + ... + 1029268.

Almost surely, 2141000400 is an apocalyptic number.

141000400 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 141000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178238592).

141000400 is an abundant number, since it is smaller than the sum of its proper divisors (215476784).

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

141000400 is a wasteful number, since it uses less digits than its factorization.

141000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 141000400 is about 11874.3589300644. The cubic root of 141000400 is about 520.4832785213.

Adding to 141000400 its reverse (4000141), we get a palindrome (145000541).

The spelling of 141000400 in words is "one hundred forty-one million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 83 100 124 137 155 166 200 248 274 310 332 400 415 496 548 620 664 685 775 830 1096 1240 1328 1370 1550 1660 2075 2192 2480 2573 2740 3100 3320 3425 4150 4247 5146 5480 6200 6640 6850 8300 8494 10292 10960 11371 12400 12865 13700 16600 16988 20584 21235 22742 25730 27400 33200 33976 41168 42470 45484 51460 54800 56855 64325 67952 84940 90968 102920 106175 113710 128650 169880 181936 205840 212350 227420 257300 284275 339760 352501 424700 454840 514600 568550 705002 849400 909680 1029200 1137100 1410004 1698800 1762505 2274200 2820008 3525010 4548400 5640016 7050020 8812525 14100040 17625050 28200080 35250100 70500200 141000400