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141406452 = 223311373217
BaseRepresentation
bin10000110110110…
…11000011110100
3100212002012012000
420123123003310
5242200001302
622010455300
73334635465
oct1033330364
9325065160
10141406452
1172902840
123b434530
13233b0575
1414accd6c
15c63331c
hex86db0f4

141406452 has 96 divisors (see below), whose sum is σ = 410874240. Its totient is φ = 41679360.

The previous prime is 141406451. The next prime is 141406453. The reversal of 141406452 is 254604141.

141406452 is a `hidden beast` number, since 1 + 4 + 14 + 0 + 645 + 2 = 666.

141406452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (141406451) and next prime (141406453).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141406451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42348 + ... + 45564.

It is an arithmetic number, because the mean of its divisors is an integer number (4279940).

Almost surely, 2141406452 is an apocalyptic number.

141406452 is a gapful number since it is divisible by the number (12) 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 141406452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205437120).

141406452 is an abundant number, since it is smaller than the sum of its proper divisors (269467788).

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

141406452 is a wasteful number, since it uses less digits than its factorization.

141406452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 141406452 is about 11891.4444875297. Note that the first 4 decimals coincide. The cubic root of 141406452 is about 520.9824277558.

The spelling of 141406452 in words is "one hundred forty-one million, four hundred six thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 37 44 54 66 74 99 108 111 132 148 198 222 297 333 396 407 444 594 666 814 999 1188 1221 1332 1628 1998 2442 3217 3663 3996 4884 6434 7326 9651 10989 12868 14652 19302 21978 28953 35387 38604 43956 57906 70774 86859 106161 115812 119029 141548 173718 212322 238058 318483 347436 357087 424644 476116 636966 714174 955449 1071261 1273932 1309319 1428348 1910898 2142522 2618638 3213783 3821796 3927957 4285044 5237276 6427566 7855914 11783871 12855132 15711828 23567742 35351613 47135484 70703226 141406452