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141354304 = 2671321867
BaseRepresentation
bin10000110110011…
…10010101000000
3100211222112122121
420123032111000
5242141314204
622005414024
73334330450
oct1033162500
9324875577
10141354304
1172877643
123b40a314
1323392900
1414ab7d60
15c622b54
hex86ce540

141354304 has 84 divisors (see below), whose sum is σ = 347313504. Its totient is φ = 55890432.

The previous prime is 141354293. The next prime is 141354307. The reversal of 141354304 is 403453141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141354307) 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, 74779 + ... + 76645.

Almost surely, 2141354304 is an apocalyptic number.

141354304 is a gapful number since it is divisible by the number (14) 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 141354304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173656752).

141354304 is an abundant number, since it is smaller than the sum of its proper divisors (205959200).

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

141354304 is a wasteful number, since it uses less digits than its factorization.

141354304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 141354304 is about 11889.2516164812. The cubic root of 141354304 is about 520.9183770904.

The spelling of 141354304 in words is "one hundred forty-one million, three hundred fifty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 169 182 208 224 338 364 416 448 676 728 832 1183 1352 1456 1867 2366 2704 2912 3734 4732 5408 5824 7468 9464 10816 13069 14936 18928 24271 26138 29872 37856 48542 52276 59744 75712 97084 104552 119488 169897 194168 209104 315523 339794 388336 418208 631046 679588 776672 836416 1262092 1359176 1553344 2208661 2524184 2718352 4417322 5048368 5436704 8834644 10096736 10873408 17669288 20193472 35338576 70677152 141354304