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141150400 = 2652471877
BaseRepresentation
bin10000110100111…
…00100011000000
3100211121011221121
420122130203000
5242113303100
622001202024
73332521126
oct1032344300
9324534847
10141150400
1172748426
123b330314
1323320b61
1414a63916
15c5d251a
hex869c8c0

141150400 has 84 divisors (see below), whose sum is σ = 354896928. Its totient is φ = 55229440.

The previous prime is 141150397. The next prime is 141150403. The reversal of 141150400 is 4051141.

It is an interprime number because it is at equal distance from previous prime (141150397) and next prime (141150403).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (141150403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74262 + ... + 76138.

Almost surely, 2141150400 is an apocalyptic number.

141150400 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 141150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177448464).

141150400 is an abundant number, since it is smaller than the sum of its proper divisors (213746528).

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

141150400 is a wasteful number, since it uses less digits than its factorization.

141150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 141150400 is about 11880.6733815891. The cubic root of 141150400 is about 520.6677811253.

The spelling of 141150400 in words is "one hundred forty-one million, one hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 64 80 94 100 160 188 200 235 320 376 400 470 752 800 940 1175 1504 1600 1877 1880 2350 3008 3754 3760 4700 7508 7520 9385 9400 15016 15040 18770 18800 30032 37540 37600 46925 60064 75080 75200 88219 93850 120128 150160 176438 187700 300320 352876 375400 441095 600640 705752 750800 882190 1411504 1501600 1764380 2205475 2823008 3003200 3528760 4410950 5646016 7057520 8821900 14115040 17643800 28230080 35287600 70575200 141150400