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141323904 = 2732671831
BaseRepresentation
bin10000110110001…
…10111010000000
3100211220222221200
420123012322000
5242134331104
622005021200
73334143021
oct1033067200
9324828850
10141323904
1172856817
123b3b4800
1323381b17
1414aaac48
15c618b39
hex86c6e80

141323904 has 96 divisors (see below), whose sum is σ = 412969440. Its totient is φ = 46379520.

The previous prime is 141323899. The next prime is 141323909. The reversal of 141323904 is 409323141.

It is an interprime number because it is at equal distance from previous prime (141323899) and next prime (141323909).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (141323909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76269 + ... + 78099.

It is an arithmetic number, because the mean of its divisors is an integer number (4301765).

Almost surely, 2141323904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141323904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206484720).

141323904 is an abundant number, since it is smaller than the sum of its proper divisors (271645536).

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

141323904 is a wasteful number, since it uses less digits than its factorization.

141323904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 141323904 is about 11887.9730820691. The cubic root of 141323904 is about 520.8810310891.

The spelling of 141323904 in words is "one hundred forty-one million, three hundred twenty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 128 134 144 192 201 268 288 384 402 536 576 603 804 1072 1152 1206 1608 1831 2144 2412 3216 3662 4288 4824 5493 6432 7324 8576 9648 10986 12864 14648 16479 19296 21972 25728 29296 32958 38592 43944 58592 65916 77184 87888 117184 122677 131832 175776 234368 245354 263664 351552 368031 490708 527328 703104 736062 981416 1054656 1104093 1472124 1962832 2109312 2208186 2944248 3925664 4416372 5888496 7851328 8832744 11776992 15702656 17665488 23553984 35330976 47107968 70661952 141323904