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141347106 = 23443103197
BaseRepresentation
bin10000110110011…
…00100100100010
3100211222011210000
420123030210202
5242141101411
622005320430
73334300455
oct1033144442
9324864700
10141347106
117287219a
123b406116
132338c554
1414ab549c
15c620956
hex86cc922

141347106 has 80 divisors (see below), whose sum is σ = 328895424. Its totient is φ = 45341856.

The previous prime is 141347093. The next prime is 141347111. The reversal of 141347106 is 601743141.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 141347106.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 717400 + ... + 717596.

Almost surely, 2141347106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141347106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164447712).

141347106 is an abundant number, since it is smaller than the sum of its proper divisors (187548318).

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

141347106 is a wasteful number, since it uses less digits than its factorization.

141347106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 141347106 is about 11888.9489022369. The cubic root of 141347106 is about 520.9095349256.

The spelling of 141347106 in words is "one hundred forty-one million, three hundred forty-seven thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 103 129 162 197 206 258 309 387 394 591 618 774 927 1161 1182 1773 1854 2322 2781 3483 3546 4429 5319 5562 6966 8343 8471 8858 10638 13287 15957 16686 16942 20291 25413 26574 31914 39861 40582 50826 60873 76239 79722 119583 121746 152478 182619 228717 239166 358749 365238 457434 547857 686151 717498 872513 1095714 1372302 1643571 1745026 2617539 3287142 5235078 7852617 15705234 23557851 47115702 70673553 141347106